Latest build deployed.
This commit is contained in:
@@ -1 +1 @@
|
||||
{"source/main.ptx": ["frontmatter", "course-documents", "ch-notes", "quizzes", "recitations"], "source/syllabus/syllabus.ptx": ["syllabus"], "source/notes/1-13.ptx": ["notes-01-13"], "source/notes/1-15.ptx": ["notes-01-15"], "source/notes/1-20.ptx": ["notes-01-20"], "source/notes/1-22.ptx": ["notes-01-22"], "source/notes/1-27.ptx": ["notes-01-27"], "source/notes/1-29.ptx": ["notes-01-29"], "source/quizzes/quiz-01.ptx": ["quiz-01"], "source/recitations/calculus-review.ptx": ["recitation-calculus-review"]}
|
||||
{"source/main.ptx": ["frontmatter", "course-documents", "ch-notes", "quizzes", "recitations"], "source/syllabus/syllabus.ptx": ["syllabus"], "source/notes/1-13.ptx": ["notes-01-13"], "source/notes/1-15.ptx": ["notes-01-15"], "source/notes/1-20.ptx": ["notes-01-20"], "source/notes/1-22.ptx": ["notes-01-22"], "source/notes/1-27.ptx": ["notes-01-27"], "source/notes/1-29.ptx": ["notes-01-29"], "source/quizzes/quiz-01.ptx": ["quiz-01"], "source/quizzes/quiz-02.ptx": ["quiz-02"], "source/recitations/calculus-review.ptx": ["recitation-calculus-review"]}
|
||||
Executable
BIN
Binary file not shown.
BIN
Binary file not shown.
Executable
BIN
Binary file not shown.
Executable
BIN
Binary file not shown.
BIN
Binary file not shown.
Executable
BIN
Binary file not shown.
BIN
Binary file not shown.
Executable
BIN
Binary file not shown.
Executable
BIN
Binary file not shown.
BIN
Binary file not shown.
Binary file not shown.
Binary file not shown.
Binary file not shown.
Binary file not shown.
Executable
+3
File diff suppressed because one or more lines are too long
+5
@@ -0,0 +1,5 @@
|
||||
/*! Hammer.JS - v2.0.8 - 2016-04-23
|
||||
* http://hammerjs.github.io/
|
||||
*
|
||||
* Copyright (c) 2016 Jorik Tangelder;
|
||||
* Licensed under the MIT license */
|
||||
Executable
BIN
Binary file not shown.
Executable
+1
File diff suppressed because one or more lines are too long
Executable
BIN
Binary file not shown.
Executable
+3
File diff suppressed because one or more lines are too long
+5
@@ -0,0 +1,5 @@
|
||||
/*! Hammer.JS - v2.0.8 - 2016-04-23
|
||||
* http://hammerjs.github.io/
|
||||
*
|
||||
* Copyright (c) 2016 Jorik Tangelder;
|
||||
* Licensed under the MIT license */
|
||||
Executable
BIN
Binary file not shown.
Executable
+1
File diff suppressed because one or more lines are too long
BIN
Binary file not shown.
@@ -1,7 +1,7 @@
|
||||
<?xml version="1.0" ?>
|
||||
<all>
|
||||
<js type="list">
|
||||
<item type="str">prefix-runtime.fc0e080e84d54281.bundle.js</item>
|
||||
<item type="str">prefix-runtime.0d5f811896ddeac1.bundle.js</item>
|
||||
<item type="str">prefix-723.3e6434f80549315a.bundle.js</item>
|
||||
<item type="str">prefix-runestone.e2abc79debce15fd.bundle.js</item>
|
||||
</js>
|
||||
@@ -10,5 +10,5 @@
|
||||
<item type="str">prefix-runestone.6ec5960970d8b364.css</item>
|
||||
</css>
|
||||
<cdn-url type="str">https://runestone.academy/cdn/runestone/</cdn-url>
|
||||
<version type="str">7.11.11</version>
|
||||
<version type="str">7.11.12</version>
|
||||
</all>
|
||||
|
||||
File diff suppressed because one or more lines are too long
Binary file not shown.
File diff suppressed because one or more lines are too long
Binary file not shown.
@@ -1 +1 @@
|
||||
{"js":["prefix-runtime.fc0e080e84d54281.bundle.js","prefix-723.3e6434f80549315a.bundle.js","prefix-runestone.e2abc79debce15fd.bundle.js"],"css":["prefix-723.3bccd435914aa0ff.css","prefix-runestone.6ec5960970d8b364.css"]}
|
||||
{"js":["prefix-runtime.0d5f811896ddeac1.bundle.js","prefix-723.3e6434f80549315a.bundle.js","prefix-runestone.e2abc79debce15fd.bundle.js"],"css":["prefix-723.3bccd435914aa0ff.css","prefix-runestone.6ec5960970d8b364.css"]}
|
||||
Binary file not shown.
@@ -1,7 +1,7 @@
|
||||
<?xml version="1.0" ?>
|
||||
<all>
|
||||
<js type="list">
|
||||
<item type="str">prefix-runtime.fc0e080e84d54281.bundle.js</item>
|
||||
<item type="str">prefix-runtime.0d5f811896ddeac1.bundle.js</item>
|
||||
<item type="str">prefix-723.3e6434f80549315a.bundle.js</item>
|
||||
<item type="str">prefix-runestone.e2abc79debce15fd.bundle.js</item>
|
||||
</js>
|
||||
@@ -10,5 +10,5 @@
|
||||
<item type="str">prefix-runestone.6ec5960970d8b364.css</item>
|
||||
</css>
|
||||
<cdn-url type="str">https://runestone.academy/cdn/runestone/</cdn-url>
|
||||
<version type="str">7.11.11</version>
|
||||
<version type="str">7.11.12</version>
|
||||
</all>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
+1
-1
@@ -2,7 +2,7 @@
|
||||
<html>
|
||||
<!--********************************************-->
|
||||
<!--* Generated from PreTeXt source *-->
|
||||
<!--* on 2026-01-30T09:05:36-05:00 *-->
|
||||
<!--* on 2026-02-05T07:22:54-05:00 *-->
|
||||
<!--* A recent stable commit (2022-07-01): *-->
|
||||
<!--* 6c761d3dba23af92cba35001c852aac04ae99a5f *-->
|
||||
<!--* *-->
|
||||
|
||||
@@ -801,6 +801,42 @@ var ptx_lunr_docs = [
|
||||
"title": "",
|
||||
"body": " A diagnostic test is developed to detect a disease present in 1.3% of the population. For a patient who has the disease, the test will accurately give a positive result 62% of the time. When the patient does not have the disease, the test will accurately give a negative result 99.4% of the time. For a patient who receives a positive test, what is the probability they have the disease? Let be the event of receiving a positive test result and be the event of having the disease. The given information is: , and . Then, using Bayes' Theorem: "
|
||||
},
|
||||
{
|
||||
"id": "quiz-02",
|
||||
"level": "1",
|
||||
"url": "quiz-02.html",
|
||||
"type": "Worksheet",
|
||||
"number": "",
|
||||
"title": "Quiz 2",
|
||||
"body": " Quiz 2 The following work should be completed individually. Use of notes or textbooks is not allowed. You may use a scientific calculator, not a graphing calculator or phone app. Show all work unless instructed otherwise. Write either True or False for each of the following statements. No justification is required. Let be integers with . Then . True. Suppose is a continuous random variable with pdf and cdf . Then . True. Suppose is a random variable taking values between 0 and 6. Then . False. Consider the joint distribution for and below. Joint Distribution 0.1 0.05 0.1 0.3 0.15 0.3 Find the marginal distributions for and . Are and independent? Since , and are not independent. Suppose a continuous random variable taking values in has cdf . Find the pdf . Find . "
|
||||
},
|
||||
{
|
||||
"id": "quiz-02-3-1",
|
||||
"level": "2",
|
||||
"url": "quiz-02.html#quiz-02-3-1",
|
||||
"type": "Worksheet Exercise",
|
||||
"number": "1",
|
||||
"title": "",
|
||||
"body": " Write either True or False for each of the following statements. No justification is required. Let be integers with . Then . True. Suppose is a continuous random variable with pdf and cdf . Then . True. Suppose is a random variable taking values between 0 and 6. Then . False. "
|
||||
},
|
||||
{
|
||||
"id": "quiz-02-3-2",
|
||||
"level": "2",
|
||||
"url": "quiz-02.html#quiz-02-3-2",
|
||||
"type": "Worksheet Exercise",
|
||||
"number": "2",
|
||||
"title": "",
|
||||
"body": " Consider the joint distribution for and below. Joint Distribution 0.1 0.05 0.1 0.3 0.15 0.3 Find the marginal distributions for and . Are and independent? Since , and are not independent. "
|
||||
},
|
||||
{
|
||||
"id": "quiz-02-4-1",
|
||||
"level": "2",
|
||||
"url": "quiz-02.html#quiz-02-4-1",
|
||||
"type": "Worksheet Exercise",
|
||||
"number": "3",
|
||||
"title": "",
|
||||
"body": " Suppose a continuous random variable taking values in has cdf . Find the pdf . Find . "
|
||||
},
|
||||
{
|
||||
"id": "recitation-calculus-review",
|
||||
"level": "1",
|
||||
@@ -851,7 +887,7 @@ var ptx_lunr_docs = [
|
||||
"level": "2",
|
||||
"url": "recitation-calculus-review.html#thm-FTC",
|
||||
"type": "Theorem",
|
||||
"number": "90",
|
||||
"number": "91",
|
||||
"title": "Fundamental Theorem of Calculus.",
|
||||
"body": " Fundamental Theorem of Calculus If is an antiderivative of i.e., if then: "
|
||||
},
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
@@ -481,7 +484,7 @@ E(X) = 0 \cdot \underbrace{\Pr(X = 0)}_{1 - p} + 1 \cdot \underbrace{\Pr(X = 1)}
|
||||
</div>
|
||||
<div class="displaymath process-math" id="notes-01-29-3-15-1-1-5">
|
||||
\begin{gather*}
|
||||
\E)N) = \sum_{i=0}^n i\cdot b(i; n, p) = \sum_{i = 0}^n i \cdot {n \choose i} p^i (1-p)^{n - i}.
|
||||
\E(N) = \sum_{i=0}^n i\cdot b(i; n, p) = \sum_{i = 0}^n i \cdot {n \choose i} p^i (1-p)^{n - i}.
|
||||
\end{gather*}
|
||||
</div>
|
||||
<div class="para">Gross.</div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -135,7 +135,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
<textarea class="embed-code-textbox" id="embed-code-textbox" readonly aria-label="textbox"><iframe src="https://example.com/embed" width="100%" height="1000"></iframe></textarea><button class="copy-embed-button button" id="copy-embed-button" title="Copy embed code"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Copy</span></button>
|
||||
</div>
|
||||
</div>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="quizzes.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="quizzes.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="quiz-02.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
</div></nav><div id="latex-macros" class="hidden-content process-math" style="display:none"><span class="process-math">\(\newcommand{\N}{\mathbb N}
|
||||
\newcommand{\Z}{\mathbb Z}
|
||||
\newcommand{\Q}{\mathbb Q}
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list contains-active"><li class="toc-item toc-worksheet active"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list contains-active">
|
||||
<li class="toc-item toc-worksheet active"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
@@ -333,7 +336,7 @@ B \amp = \{ (0, 1), (0, 3), (0, 5), (1, 0), (3, 0), (5, 0) \}
|
||||
<div class="autopermalink" data-description="Worksheet Exercise 3"><a href="#quiz-01-4-1" title="Copy heading and permalink for Worksheet Exercise 3" aria-label="Copy heading and permalink for Worksheet Exercise 3">🔗</a></div></article></section><div class="autopermalink" data-description="Worksheet: Quiz 1"><a href="#quiz-01" title="Copy heading and permalink for Worksheet: Quiz 1" aria-label="Copy heading and permalink for Worksheet: Quiz 1">🔗</a></div></section>
|
||||
</div>
|
||||
<div id="ptx-content-footer" class="ptx-content-footer">
|
||||
<a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
<a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="quiz-02.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
</div></main>
|
||||
</div>
|
||||
<div id="ptx-page-footer" class="ptx-page-footer">
|
||||
|
||||
+8
-5
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -135,7 +135,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
<textarea class="embed-code-textbox" id="embed-code-textbox" readonly aria-label="textbox"><iframe src="https://example.com/embed" width="100%" height="1000"></iframe></textarea><button class="copy-embed-button button" id="copy-embed-button" title="Copy embed code"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Copy</span></button>
|
||||
</div>
|
||||
</div>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="quizzes.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="quizzes.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="quiz-02.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
</div></nav><div id="latex-macros" class="hidden-content process-math" style="display:none"><span class="process-math">\(\newcommand{\N}{\mathbb N}
|
||||
\newcommand{\Z}{\mathbb Z}
|
||||
\newcommand{\Q}{\mathbb Q}
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list contains-active"><li class="toc-item toc-worksheet active"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list contains-active">
|
||||
<li class="toc-item toc-worksheet active"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
@@ -317,7 +320,7 @@ B \amp = \{ (0, 1), (0, 3), (0, 5), (1, 0), (3, 0), (5, 0) \}
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Worksheet Exercise 3"><a href="#quiz-01-4-1" title="Copy heading and permalink for Worksheet Exercise 3" aria-label="Copy heading and permalink for Worksheet Exercise 3">🔗</a></div></article></section><div class="autopermalink" data-description="Worksheet: Quiz 1"><a href="#quiz-01" title="Copy heading and permalink for Worksheet: Quiz 1" aria-label="Copy heading and permalink for Worksheet: Quiz 1">🔗</a></div></section></div>
|
||||
<div id="ptx-content-footer" class="ptx-content-footer">
|
||||
<a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
<a class="previous-button button" href="quizzes.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="quiz-02.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
</div></main>
|
||||
</div>
|
||||
<div id="ptx-page-footer" class="ptx-page-footer">
|
||||
|
||||
Executable
+385
@@ -0,0 +1,385 @@
|
||||
<!DOCTYPE html>
|
||||
<!--********************************************-->
|
||||
<!--* Generated from PreTeXt source *-->
|
||||
<!--* *-->
|
||||
<!--* https://pretextbook.org *-->
|
||||
<!--* *-->
|
||||
<!--********************************************-->
|
||||
<html lang="en-US" dir="ltr">
|
||||
<!--******************************************-->
|
||||
<!--* Authored with PreTeXt *-->
|
||||
<!--* pretextbook.org *-->
|
||||
<!--* Theme: boulder *-->
|
||||
<!--* Palette: *-->
|
||||
<!--******************************************-->
|
||||
<head xmlns:og="http://ogp.me/ns#" xmlns:book="https://ogp.me/ns/book#">
|
||||
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
|
||||
<title>Quiz 2</title>
|
||||
<link rel="preconnect" href="https://fonts.googleapis.com">
|
||||
<link rel="preconnect" href="https://fonts.gstatic.com" crossorigin="">
|
||||
<link rel="stylesheet" href="https://fonts.googleapis.com/css2?family=Material+Symbols+Outlined:opsz,wght,FILL,GRAD@24,400,0,0">
|
||||
<link href="_static/pretext/css/print-worksheet.css" rel="stylesheet" type="text/css">
|
||||
<script>
|
||||
var runestoneMathReady = new Promise((resolve) => window.rsMathReady = resolve);
|
||||
window.MathJax = {
|
||||
"tex": {
|
||||
"inlineMath": [
|
||||
[
|
||||
"\\(",
|
||||
"\\)"
|
||||
]
|
||||
],
|
||||
"tags": "none",
|
||||
"tagSide": "right",
|
||||
"tagIndent": ".8em",
|
||||
"packages": {
|
||||
"[+]": [
|
||||
"base",
|
||||
"extpfeil",
|
||||
"ams",
|
||||
"amscd",
|
||||
"color",
|
||||
"newcommand",
|
||||
"knowl"
|
||||
]
|
||||
}
|
||||
},
|
||||
"options": {
|
||||
"ignoreHtmlClass": "tex2jax_ignore|ignore-math",
|
||||
"processHtmlClass": "process-math"
|
||||
},
|
||||
"chtml": {
|
||||
"scale": 0.98,
|
||||
"mtextInheritFont": true
|
||||
},
|
||||
"loader": {
|
||||
"load": [
|
||||
"input/asciimath",
|
||||
"[tex]/extpfeil",
|
||||
"[tex]/amscd",
|
||||
"[tex]/color",
|
||||
"[tex]/newcommand",
|
||||
"[pretext]/mathjaxknowl3.js"
|
||||
],
|
||||
"paths": {
|
||||
"pretext": "_static/pretext/js/lib"
|
||||
}
|
||||
},
|
||||
"startup": {
|
||||
pageReady() {
|
||||
return MathJax.startup.defaultPageReady().then(function () {
|
||||
console.log("in ready function");
|
||||
rsMathReady();
|
||||
}
|
||||
)}
|
||||
}
|
||||
};
|
||||
</script><script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js"></script><meta name="Keywords" content="Authored in PreTeXt">
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1.0">
|
||||
<meta property="og:type" content="book">
|
||||
<meta property="book:title" content="Introduction to Probability and Statistics for the Life Sciences">
|
||||
<meta property="book:author" content="Andy Eisenberg">
|
||||
<script src="_static/pretext/js/lib/jquery.min.js"></script><script src="_static/pretext/js/lib/jquery.sticky.js"></script><script src="_static/pretext/js/lib/jquery.espy.min.js"></script><script src="_static/pretext/js/pretext.js"></script><script src="_static/pretext/js/pretext_add_on.js?x=1"></script><script src="_static/pretext/js/user_preferences.js"></script><!--** eBookCongig is necessary to configure interactive **-->
|
||||
<!--** Runestone components to run locally in reader's browser **-->
|
||||
<!--** No external communication: **-->
|
||||
<!--** log level is 0, Runestone Services are disabled **-->
|
||||
<script type="text/javascript">
|
||||
eBookConfig = {};
|
||||
eBookConfig.useRunestoneServices = false;
|
||||
eBookConfig.host = 'http://127.0.0.1:8000';
|
||||
eBookConfig.course = 'PTX_Course_Title_Here';
|
||||
eBookConfig.basecourse = 'PTX_Base_Course';
|
||||
eBookConfig.isLoggedIn = false;
|
||||
eBookConfig.email = '';
|
||||
eBookConfig.isInstructor = false;
|
||||
eBookConfig.logLevel = 0;
|
||||
eBookConfig.username = '';
|
||||
eBookConfig.readings = null;
|
||||
eBookConfig.activities = null;
|
||||
eBookConfig.downloadsEnabled = false;
|
||||
eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
</head>
|
||||
<body class="pretext book ignore-math">
|
||||
<a class="assistive" href="#ptx-content">Skip to main content</a><header id="ptx-masthead" class="ptx-masthead"><div class="ptx-banner"><div class="title-container">
|
||||
<h1 class="heading"><a href="root-1-2.html"><span class="title">Introduction to Probability and Statistics for the Life Sciences</span> <span class="subtitle">Spring 2026 MATH 1044</span></a></h1>
|
||||
<p class="byline">Andy Eisenberg</p>
|
||||
</div></div></header><nav id="ptx-navbar" class="ptx-navbar navbar"><div class="ptx-navbar-contents">
|
||||
<button class="toc-toggle button" title="Contents"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Contents</span></button><div class="searchbox">
|
||||
<div class="searchwidget"><button id="searchbutton" class="searchbutton button" type="button" title="Search book"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Search Book</span></button></div>
|
||||
<div id="searchresultsplaceholder" class="searchresultsplaceholder" style="display: none">
|
||||
<div class="search-results-controls">
|
||||
<input aria-label="Search term" id="ptxsearch" class="ptxsearch" type="text" name="terms" placeholder="Search term"><button title="Close search" id="closesearchresults" class="closesearchresults"><span class="material-symbols-outlined">close</span></button>
|
||||
</div>
|
||||
<h2 class="search-results-heading">Search Results: </h2>
|
||||
<div id="searchempty" class="searchempty"><span>No results.</span></div>
|
||||
<ol id="searchresults" class="searchresults"></ol>
|
||||
</div>
|
||||
</div>
|
||||
<span class="nav-other-controls"><button id="embed-button" class="embed-button button" title="Embed this page"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Embed</span></button><div class="embed-popup hidden" id="embed-popup">
|
||||
<p>Copy the code below to embed this page in your own website or LMS page.</p>
|
||||
<div class="embed-code-container">
|
||||
<textarea class="embed-code-textbox" id="embed-code-textbox" readonly aria-label="textbox"><iframe src="https://example.com/embed" width="100%" height="1000"></iframe></textarea><button class="copy-embed-button button" id="copy-embed-button" title="Copy embed code"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Copy</span></button>
|
||||
</div>
|
||||
</div>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quiz-01.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="quizzes.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
</div></nav><div id="latex-macros" class="hidden-content process-math" style="display:none"><span class="process-math">\(\newcommand{\N}{\mathbb N}
|
||||
\newcommand{\Z}{\mathbb Z}
|
||||
\newcommand{\Q}{\mathbb Q}
|
||||
\newcommand{\R}{\mathbb R}
|
||||
|
||||
|
||||
\DeclareMathOperator{\Bin}{Bin}
|
||||
\DeclareMathOperator{\Geom}{Geom}
|
||||
\DeclareMathOperator{\Poiss}{Poiss}
|
||||
\DeclareMathOperator{\Exp}{Exp}
|
||||
|
||||
|
||||
\DeclareMathOperator{\E}{E}
|
||||
\DeclareMathOperator{\Var}{Var}
|
||||
\DeclareMathOperator{\Cov}{Cov}
|
||||
\newcommand{\lt}{<}
|
||||
\newcommand{\gt}{>}
|
||||
\newcommand{\amp}{&}
|
||||
\definecolor{fillinmathshade}{gray}{0.9}
|
||||
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
|
||||
\)</span></div>
|
||||
<div class="ptx-page">
|
||||
<div id="ptx-sidebar" class="ptx-sidebar"><nav id="ptx-toc" class="ptx-toc depth2"><ul class="structural toc-item-list contains-active">
|
||||
<li class="toc-item toc-frontmatter"><div class="toc-title-box"><a href="frontmatter.html" class="internal"><span class="title">Front Matter</span></a></div></li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="course-documents.html" class="internal"><span class="title">Course Documents</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="syllabus.html" class="internal"><span class="title">Syllabus</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-course-info" class="internal"><span class="title">Course Information</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-materials" class="internal"><span class="title">Textbook and Other Required Materials</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-assessments" class="internal"><span class="title">Assessments</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-grading" class="internal"><span class="title">Grading</span></a></div></li>
|
||||
</ul>
|
||||
</li></ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="ch-notes.html" class="internal"><span class="title">Class Notes</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-13.html" class="internal"><span class="title">Tuesday, Jan 13</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-13.html#subsec-Sets" class="internal"><span class="title">Sec 1.1: Sets</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-13.html#subsec-Probability" class="internal"><span class="title">Sec 1.2: Probability</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-15.html" class="internal"><span class="title">Thursday, Jan 15</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-15.html#subsec-Conditional-Probability" class="internal"><span class="title">Sec 1.3: Conditional Probability</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-15.html#subsec-Diagnostic-Testing" class="internal"><span class="title">Diagnostic Testing</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-15.html#subsec-Independent-Events" class="internal"><span class="title">Sec 1.4: Independent Events</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-20.html" class="internal"><span class="title">Tuesday, Jan 20</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-20.html#subsec-hw1-review" class="internal"><span class="title">HW 1 Q5</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-20.html#subsec-Discrete-Random-Variables" class="internal"><span class="title">Sec 2.1: Random Variables</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-22.html" class="internal"><span class="title">Thursday, Jan 22</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-22.html#subsec-discrete-distributions" class="internal"><span class="title">Discrete Distributions</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-22.html#subsec-continuous-distributions" class="internal"><span class="title">Continuous Distributions</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-27.html" class="internal"><span class="title">Tuesday, Jan 27</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-27.html#subsec-continuous-2" class="internal"><span class="title">Continuous Distributions</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-27.html#subsec-Joint-Distributions" class="internal"><span class="title">Joint Distributions</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-29.html" class="internal"><span class="title">Thursday, Jan 29</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-29.html#notes-01-29-3" class="internal"><span class="title">Expected Value</span></a></div></li></ul>
|
||||
</li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list contains-active">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet active"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="recitation-calculus-review.html" class="internal"><span class="title">Calculus Review</span></a></div></li></ul>
|
||||
</li>
|
||||
</ul></nav></div>
|
||||
<main class="ptx-main"><div id="ptx-content" class="ptx-content">
|
||||
<div class="print-preview-header">
|
||||
<h2 class="print-preview">Print preview</h2>
|
||||
<div class="print-controls">
|
||||
<div class="print-controls-toggles">
|
||||
<form class="papersize-select" id="papersize-select">
|
||||
<span class="name">Paper size</span><label><input type="radio" name="papersize" value="a4">A4
|
||||
</label><label><input type="radio" name="papersize" value="letter">Letter
|
||||
</label>
|
||||
</form>
|
||||
<label for="highlight-workspace-checkbox">Highlight workspace</label><input type="checkbox" id="highlight-workspace-checkbox">
|
||||
</div>
|
||||
<button class="print-button" title="Print" onClick="window.print()"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Print</span></button>
|
||||
</div>
|
||||
</div>
|
||||
<section class="worksheet" id="quiz-02" data-margins="0.75in 0.75in 0.75in 0.75in"><h1 class="heading hide-type">
|
||||
<span class="type">Worksheet</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber"></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Quiz 2</span><div class="print-links"><a href="quiz-02-printable.html" class="print-link" title="Print preview"><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></div>
|
||||
</h1>
|
||||
<section class="introduction" id="quiz-02-2"><div class="para" id="quiz-02-2-1">The following work should be completed individually. Use of notes or textbooks is not allowed. You may use a scientific calculator, not a graphing calculator or phone app.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="para" id="quiz-02-2-2">Show all work unless instructed otherwise.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-2-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div></section><section class="onepage" id="quiz-02-3"><article class="exercise exercise-like" id="quiz-02-3-1"><h3 class="heading"><span class="codenumber">1<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="quiz-02-3-1-1"><div class="para" id="quiz-02-3-1-1-1">Write either True or False for each of the following statements. No justification is required.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div></div>
|
||||
<article class="task exercise-like" id="quiz-02-3-1-2"><h4 class="heading"><span class="codenumber">(a)</span></h4>
|
||||
<div class="para" id="quiz-02-3-1-2-1-1">Let <span class="process-math">\(n, k\)</span> be integers with <span class="process-math">\(0 \leq k \leq n\text{.}\)</span> Then <span class="process-math">\({n\choose k} = {n \choose n - k}\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-1-2-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para" id="quiz-02-3-1-2-2-1">True.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 1.a.1"><a href="#quiz-02-3-1-2-2" title="Copy heading and permalink for Solution 1.a.1" aria-label="Copy heading and permalink for Solution 1.a.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 1.a"><a href="#quiz-02-3-1-2" title="Copy heading and permalink for Task 1.a" aria-label="Copy heading and permalink for Task 1.a">🔗</a></div></article><article class="task exercise-like" id="quiz-02-3-1-3"><h4 class="heading"><span class="codenumber">(b)</span></h4>
|
||||
<div class="para" id="quiz-02-3-1-3-1-1">Suppose <span class="process-math">\(X\)</span> is a continuous random variable with pdf <span class="process-math">\(f(x)\)</span> and cdf <span class="process-math">\(F(x)\text{.}\)</span> Then <span class="process-math">\(\displaystyle{\int_a^b f(x)\ dx = F(b) - F(a)}\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-1-3-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para" id="quiz-02-3-1-3-2-1">True.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-3-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 1.b.1"><a href="#quiz-02-3-1-3-2" title="Copy heading and permalink for Solution 1.b.1" aria-label="Copy heading and permalink for Solution 1.b.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 1.b"><a href="#quiz-02-3-1-3" title="Copy heading and permalink for Task 1.b" aria-label="Copy heading and permalink for Task 1.b">🔗</a></div></article><article class="task exercise-like" id="quiz-02-3-1-4"><h4 class="heading"><span class="codenumber">(c)</span></h4>
|
||||
<div class="para" id="quiz-02-3-1-4-1-1">Suppose <span class="process-math">\(X\)</span> is a random variable taking values between 0 and 6. Then <span class="process-math">\(\E(X) = 3\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-4-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-1-4-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para" id="quiz-02-3-1-4-2-1">False.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-4-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 1.c.1"><a href="#quiz-02-3-1-4-2" title="Copy heading and permalink for Solution 1.c.1" aria-label="Copy heading and permalink for Solution 1.c.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 1.c"><a href="#quiz-02-3-1-4" title="Copy heading and permalink for Task 1.c" aria-label="Copy heading and permalink for Task 1.c">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 1"><a href="#quiz-02-3-1" title="Copy heading and permalink for Worksheet Exercise 1" aria-label="Copy heading and permalink for Worksheet Exercise 1">🔗</a></div></article><article class="exercise exercise-like" id="quiz-02-3-2"><h3 class="heading"><span class="codenumber">2<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="quiz-02-3-2-1">
|
||||
<div class="para" id="quiz-02-3-2-1-1">Consider the joint distribution for <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\)</span> below.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<figure class="table table-like" id="quiz-02-3-2-1-2"><figcaption><span class="type">Table</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">90<span class="period heading-divison-mark heading-divison-mark__period">.</span></span><span class="space heading-divison-mark heading-divison-mark__space"> </span>Joint Distribution<div class="autopermalink" data-description="Table 90: Joint Distribution"><a href="#quiz-02-3-2-1-2" title="Copy heading and permalink for Table 90: Joint Distribution" aria-label="Copy heading and permalink for Table 90: Joint Distribution">🔗</a></div></figcaption><div class="tabular-box natural-width"><table class="tabular">
|
||||
<tr>
|
||||
<td class="c m b1 r1 l0 t0 lines"></td>
|
||||
<td class="c m b1 r0 l0 t0 lines"><span class="process-math">\(X = 0\)</span></td>
|
||||
<td class="c m b1 r0 l0 t0 lines"><span class="process-math">\(X = 1\)</span></td>
|
||||
<td class="c m b1 r0 l0 t0 lines"><span class="process-math">\(X = 2\)</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="c m b0 r1 l0 t0 lines"><span class="process-math">\(Y = 0\)</span></td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.1</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.05</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="c m b0 r1 l0 t0 lines"><span class="process-math">\(Y = 1\)</span></td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.3</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.15</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.3</td>
|
||||
</tr>
|
||||
</table></div></figure>
|
||||
</div>
|
||||
<article class="task exercise-like" id="quiz-02-3-2-2"><h4 class="heading"><span class="codenumber">(a)</span></h4>
|
||||
<div class="para" id="quiz-02-3-2-2-1-1">Find the marginal distributions for <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-2-2-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-3-2-2-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-3-2-2-2-1-1">
|
||||
\begin{align*}
|
||||
\Pr(X = 0) \amp = 0.1 + 0.3 = 0.4 \\
|
||||
\Pr(X = 1) \amp = 0.05 + 0.15 = 0.2 \\
|
||||
\Pr(X = 2) \amp = 0.1 + 0.3 = 0.4 \\
|
||||
\Pr(Y = 0) \amp = 0.1 + 0.05 + 0.1 = 0.25 \\
|
||||
\Pr(Y = 1) \amp = 0.3 + 0.15 + 0.3 = 0.75
|
||||
\end{align*}
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 2.a.1"><a href="#quiz-02-3-2-2-2" title="Copy heading and permalink for Solution 2.a.1" aria-label="Copy heading and permalink for Solution 2.a.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 2.a"><a href="#quiz-02-3-2-2" title="Copy heading and permalink for Task 2.a" aria-label="Copy heading and permalink for Task 2.a">🔗</a></div></article><article class="task exercise-like" id="quiz-02-3-2-3"><h4 class="heading"><span class="codenumber">(b)</span></h4>
|
||||
<div class="para" id="quiz-02-3-2-3-1-1">Are <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\)</span> independent?<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-2-3-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-3-2-3-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-3-2-3-2-1-1">
|
||||
\begin{align*}
|
||||
\Pr(X = 2, Y = 0) \amp = 0.2 \\
|
||||
\Pr(X = 2)\Pr(Y = 0) \amp = (0.4)(0.25) = 0.1
|
||||
\end{align*}
|
||||
</div>
|
||||
<div class="para">Since <span class="process-math">\(0.2 \neq 0.1\text{,}\)</span> <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\)</span> are not independent.</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-3-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 2.b.1"><a href="#quiz-02-3-2-3-2" title="Copy heading and permalink for Solution 2.b.1" aria-label="Copy heading and permalink for Solution 2.b.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 2.b"><a href="#quiz-02-3-2-3" title="Copy heading and permalink for Task 2.b" aria-label="Copy heading and permalink for Task 2.b">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 2"><a href="#quiz-02-3-2" title="Copy heading and permalink for Worksheet Exercise 2" aria-label="Copy heading and permalink for Worksheet Exercise 2">🔗</a></div></article></section><section class="onepage" id="quiz-02-4"><article class="exercise exercise-like" id="quiz-02-4-1"><h3 class="heading"><span class="codenumber">3<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="quiz-02-4-1-1"><div class="para" id="quiz-02-4-1-1-1">Suppose a continuous random variable <span class="process-math">\(X\)</span> taking values in <span class="process-math">\([0, 1]\)</span> has cdf <span class="process-math">\(F(x) = 2x^2 - x^4\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div></div>
|
||||
<article class="task exercise-like" id="quiz-02-4-1-2"><h4 class="heading"><span class="codenumber">(a)</span></h4>
|
||||
<div class="para" id="quiz-02-4-1-2-1-1">Find the pdf <span class="process-math">\(f(x)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-4-1-2-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-4-1-2-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-4-1-2-2-1-1">
|
||||
\begin{gather*}
|
||||
f(x) = F'(x) = 4x - 4x^3.
|
||||
\end{gather*}
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 3.a.1"><a href="#quiz-02-4-1-2-2" title="Copy heading and permalink for Solution 3.a.1" aria-label="Copy heading and permalink for Solution 3.a.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 3.a"><a href="#quiz-02-4-1-2" title="Copy heading and permalink for Task 3.a" aria-label="Copy heading and permalink for Task 3.a">🔗</a></div></article><article class="task exercise-like" id="quiz-02-4-1-3"><h4 class="heading"><span class="codenumber">(b)</span></h4>
|
||||
<div class="para" id="quiz-02-4-1-3-1-1">Find <span class="process-math">\(\E(X)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-4-1-3-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-4-1-3-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-4-1-3-2-1-1">
|
||||
\begin{align*}
|
||||
\E(X) \amp = \int_0^1 x f(x)\ dx \\
|
||||
\amp = \int_0^1 x (4x - 4x^3)\ dx \\
|
||||
\amp = \int_0^1 4x^2 - 4x^4\ dx \\
|
||||
\amp = \frac{4x^2}{3} - \frac{4x^5}{5}\bigg|_0^1 \\
|
||||
\amp = \left(\frac{4}{3} - \frac{4}{5}\right) - (0) \\
|
||||
\amp = \frac{8}{15} \approx 0.533.
|
||||
\end{align*}
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-3-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 3.b.1"><a href="#quiz-02-4-1-3-2" title="Copy heading and permalink for Solution 3.b.1" aria-label="Copy heading and permalink for Solution 3.b.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 3.b"><a href="#quiz-02-4-1-3" title="Copy heading and permalink for Task 3.b" aria-label="Copy heading and permalink for Task 3.b">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 3"><a href="#quiz-02-4-1" title="Copy heading and permalink for Worksheet Exercise 3" aria-label="Copy heading and permalink for Worksheet Exercise 3">🔗</a></div></article></section><div class="autopermalink" data-description="Worksheet: Quiz 2"><a href="#quiz-02" title="Copy heading and permalink for Worksheet: Quiz 2" aria-label="Copy heading and permalink for Worksheet: Quiz 2">🔗</a></div></section>
|
||||
</div>
|
||||
<div id="ptx-content-footer" class="ptx-content-footer">
|
||||
<a class="previous-button button" href="quiz-01.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
</div></main>
|
||||
</div>
|
||||
<div id="ptx-page-footer" class="ptx-page-footer">
|
||||
<a class="pretext-link" href="https://pretextbook.org" title="PreTeXt"><div class="logo"><svg xmlns="http://www.w3.org/2000/svg" height="100%" viewBox="338 3000 8772 6866" role="img"><title>PreTeXt logo</title><g style="stroke-width:.025in; stroke:currentColor; fill:none"><polyline points="472,3590 472,9732 " style="stroke-width:174; stroke-linejoin:miter; stroke-linecap:round; "></polyline><path style="stroke-width:126;stroke-linecap:butt;" d="M 4724,9448 A 4660 4660 0 0 1 8598 9259"></path><path style="stroke-width:174;stroke-linecap:butt;" d="M 4488,9685 A 4228 4228 0 0 0 472 9732"></path><path style="stroke-width:126;stroke-linecap:butt;" d="M 4724,3590 A 4241 4241 0 0 1 8598 3496"></path><path style="stroke-width:126;stroke-linecap:round;" d="M 850,3496 A 4241 4241 0 0 1 4724 3590"></path><path style="stroke-width:126;stroke-linecap:round;" d="M 850,9259 A 4507 4507 0 0 1 4724 9448"></path><polyline points="5385,4299 4062,8125" style="stroke-width:300; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="8598,3496 8598,9259" style="stroke-width:126; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="850,3496 850,9259" style="stroke-width:126; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="4960,9685 4488,9685" style="stroke-width:174; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="3070,4582 1889,6141 3070,7700" style="stroke-width:300; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="6418,4582 7600,6141 6418,7700" style="stroke-width:300; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="8976,3590 8976,9732" style="stroke-width:174; stroke-linejoin:miter; stroke-linecap:round;"></polyline><path style="stroke-width:174;stroke-linecap:butt;" d="M 4960,9685 A 4228 4228 0 0 1 8976 9732"></path></g></svg></div></a><a class="runestone-link" href="https://runestone.academy" title="Runestone Academy"><img class="logo" src="https://runestone.academy/runestone/static/images/RAIcon_cropped.png" alt="Runstone Academy logo"></a><a class="mathjax-link" href="https://www.mathjax.org" title="MathJax"><img class="logo" src="https://www.mathjax.org/badge/badge-square-2.png" alt="MathJax logo"></a>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
Executable
+369
@@ -0,0 +1,369 @@
|
||||
<!DOCTYPE html>
|
||||
<!--********************************************-->
|
||||
<!--* Generated from PreTeXt source *-->
|
||||
<!--* *-->
|
||||
<!--* https://pretextbook.org *-->
|
||||
<!--* *-->
|
||||
<!--********************************************-->
|
||||
<html lang="en-US" dir="ltr">
|
||||
<!--******************************************-->
|
||||
<!--* Authored with PreTeXt *-->
|
||||
<!--* pretextbook.org *-->
|
||||
<!--* Theme: boulder *-->
|
||||
<!--* Palette: *-->
|
||||
<!--******************************************-->
|
||||
<head xmlns:og="http://ogp.me/ns#" xmlns:book="https://ogp.me/ns/book#">
|
||||
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
|
||||
<title>Quiz 2</title>
|
||||
<link rel="preconnect" href="https://fonts.googleapis.com">
|
||||
<link rel="preconnect" href="https://fonts.gstatic.com" crossorigin="">
|
||||
<link rel="stylesheet" href="https://fonts.googleapis.com/css2?family=Material+Symbols+Outlined:opsz,wght,FILL,GRAD@24,400,0,0">
|
||||
<link href="_static/pretext/css/theme.css" rel="stylesheet" type="text/css">
|
||||
<script>
|
||||
var runestoneMathReady = new Promise((resolve) => window.rsMathReady = resolve);
|
||||
window.MathJax = {
|
||||
"tex": {
|
||||
"inlineMath": [
|
||||
[
|
||||
"\\(",
|
||||
"\\)"
|
||||
]
|
||||
],
|
||||
"tags": "none",
|
||||
"tagSide": "right",
|
||||
"tagIndent": ".8em",
|
||||
"packages": {
|
||||
"[+]": [
|
||||
"base",
|
||||
"extpfeil",
|
||||
"ams",
|
||||
"amscd",
|
||||
"color",
|
||||
"newcommand",
|
||||
"knowl"
|
||||
]
|
||||
}
|
||||
},
|
||||
"options": {
|
||||
"ignoreHtmlClass": "tex2jax_ignore|ignore-math",
|
||||
"processHtmlClass": "process-math"
|
||||
},
|
||||
"chtml": {
|
||||
"scale": 0.98,
|
||||
"mtextInheritFont": true
|
||||
},
|
||||
"loader": {
|
||||
"load": [
|
||||
"input/asciimath",
|
||||
"[tex]/extpfeil",
|
||||
"[tex]/amscd",
|
||||
"[tex]/color",
|
||||
"[tex]/newcommand",
|
||||
"[pretext]/mathjaxknowl3.js"
|
||||
],
|
||||
"paths": {
|
||||
"pretext": "_static/pretext/js/lib"
|
||||
}
|
||||
},
|
||||
"startup": {
|
||||
pageReady() {
|
||||
return MathJax.startup.defaultPageReady().then(function () {
|
||||
console.log("in ready function");
|
||||
rsMathReady();
|
||||
}
|
||||
)}
|
||||
}
|
||||
};
|
||||
</script><script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js"></script><meta name="Keywords" content="Authored in PreTeXt">
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1.0">
|
||||
<meta property="og:type" content="book">
|
||||
<meta property="book:title" content="Introduction to Probability and Statistics for the Life Sciences">
|
||||
<meta property="book:author" content="Andy Eisenberg">
|
||||
<script src="_static/pretext/js/lib/jquery.min.js"></script><script src="_static/pretext/js/lib/jquery.sticky.js"></script><script src="_static/pretext/js/lib/jquery.espy.min.js"></script><script src="_static/pretext/js/pretext.js"></script><script src="_static/pretext/js/pretext_add_on.js?x=1"></script><script src="_static/pretext/js/user_preferences.js"></script><!--** eBookCongig is necessary to configure interactive **-->
|
||||
<!--** Runestone components to run locally in reader's browser **-->
|
||||
<!--** No external communication: **-->
|
||||
<!--** log level is 0, Runestone Services are disabled **-->
|
||||
<script type="text/javascript">
|
||||
eBookConfig = {};
|
||||
eBookConfig.useRunestoneServices = false;
|
||||
eBookConfig.host = 'http://127.0.0.1:8000';
|
||||
eBookConfig.course = 'PTX_Course_Title_Here';
|
||||
eBookConfig.basecourse = 'PTX_Base_Course';
|
||||
eBookConfig.isLoggedIn = false;
|
||||
eBookConfig.email = '';
|
||||
eBookConfig.isInstructor = false;
|
||||
eBookConfig.logLevel = 0;
|
||||
eBookConfig.username = '';
|
||||
eBookConfig.readings = null;
|
||||
eBookConfig.activities = null;
|
||||
eBookConfig.downloadsEnabled = false;
|
||||
eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
</head>
|
||||
<body class="pretext book ignore-math">
|
||||
<a class="assistive" href="#ptx-content">Skip to main content</a><header id="ptx-masthead" class="ptx-masthead"><div class="ptx-banner"><div class="title-container">
|
||||
<h1 class="heading"><a href="root-1-2.html"><span class="title">Introduction to Probability and Statistics for the Life Sciences</span> <span class="subtitle">Spring 2026 MATH 1044</span></a></h1>
|
||||
<p class="byline">Andy Eisenberg</p>
|
||||
</div></div></header><nav id="ptx-navbar" class="ptx-navbar navbar"><div class="ptx-navbar-contents">
|
||||
<button class="toc-toggle button" title="Contents"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Contents</span></button><div class="searchbox">
|
||||
<div class="searchwidget"><button id="searchbutton" class="searchbutton button" type="button" title="Search book"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Search Book</span></button></div>
|
||||
<div id="searchresultsplaceholder" class="searchresultsplaceholder" style="display: none">
|
||||
<div class="search-results-controls">
|
||||
<input aria-label="Search term" id="ptxsearch" class="ptxsearch" type="text" name="terms" placeholder="Search term"><button title="Close search" id="closesearchresults" class="closesearchresults"><span class="material-symbols-outlined">close</span></button>
|
||||
</div>
|
||||
<h2 class="search-results-heading">Search Results: </h2>
|
||||
<div id="searchempty" class="searchempty"><span>No results.</span></div>
|
||||
<ol id="searchresults" class="searchresults"></ol>
|
||||
</div>
|
||||
</div>
|
||||
<span class="nav-other-controls"><button id="embed-button" class="embed-button button" title="Embed this page"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Embed</span></button><div class="embed-popup hidden" id="embed-popup">
|
||||
<p>Copy the code below to embed this page in your own website or LMS page.</p>
|
||||
<div class="embed-code-container">
|
||||
<textarea class="embed-code-textbox" id="embed-code-textbox" readonly aria-label="textbox"><iframe src="https://example.com/embed" width="100%" height="1000"></iframe></textarea><button class="copy-embed-button button" id="copy-embed-button" title="Copy embed code"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Copy</span></button>
|
||||
</div>
|
||||
</div>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quiz-01.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="quizzes.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
</div></nav><div id="latex-macros" class="hidden-content process-math" style="display:none"><span class="process-math">\(\newcommand{\N}{\mathbb N}
|
||||
\newcommand{\Z}{\mathbb Z}
|
||||
\newcommand{\Q}{\mathbb Q}
|
||||
\newcommand{\R}{\mathbb R}
|
||||
|
||||
|
||||
\DeclareMathOperator{\Bin}{Bin}
|
||||
\DeclareMathOperator{\Geom}{Geom}
|
||||
\DeclareMathOperator{\Poiss}{Poiss}
|
||||
\DeclareMathOperator{\Exp}{Exp}
|
||||
|
||||
|
||||
\DeclareMathOperator{\E}{E}
|
||||
\DeclareMathOperator{\Var}{Var}
|
||||
\DeclareMathOperator{\Cov}{Cov}
|
||||
\newcommand{\lt}{<}
|
||||
\newcommand{\gt}{>}
|
||||
\newcommand{\amp}{&}
|
||||
\definecolor{fillinmathshade}{gray}{0.9}
|
||||
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
|
||||
\)</span></div>
|
||||
<div class="ptx-page">
|
||||
<div id="ptx-sidebar" class="ptx-sidebar"><nav id="ptx-toc" class="ptx-toc depth2"><ul class="structural toc-item-list contains-active">
|
||||
<li class="toc-item toc-frontmatter"><div class="toc-title-box"><a href="frontmatter.html" class="internal"><span class="title">Front Matter</span></a></div></li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="course-documents.html" class="internal"><span class="title">Course Documents</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="syllabus.html" class="internal"><span class="title">Syllabus</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-course-info" class="internal"><span class="title">Course Information</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-materials" class="internal"><span class="title">Textbook and Other Required Materials</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-assessments" class="internal"><span class="title">Assessments</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="syllabus.html#sec-grading" class="internal"><span class="title">Grading</span></a></div></li>
|
||||
</ul>
|
||||
</li></ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="ch-notes.html" class="internal"><span class="title">Class Notes</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-13.html" class="internal"><span class="title">Tuesday, Jan 13</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-13.html#subsec-Sets" class="internal"><span class="title">Sec 1.1: Sets</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-13.html#subsec-Probability" class="internal"><span class="title">Sec 1.2: Probability</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-15.html" class="internal"><span class="title">Thursday, Jan 15</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-15.html#subsec-Conditional-Probability" class="internal"><span class="title">Sec 1.3: Conditional Probability</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-15.html#subsec-Diagnostic-Testing" class="internal"><span class="title">Diagnostic Testing</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-15.html#subsec-Independent-Events" class="internal"><span class="title">Sec 1.4: Independent Events</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-20.html" class="internal"><span class="title">Tuesday, Jan 20</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-20.html#subsec-hw1-review" class="internal"><span class="title">HW 1 Q5</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-20.html#subsec-Discrete-Random-Variables" class="internal"><span class="title">Sec 2.1: Random Variables</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-22.html" class="internal"><span class="title">Thursday, Jan 22</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-22.html#subsec-discrete-distributions" class="internal"><span class="title">Discrete Distributions</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-22.html#subsec-continuous-distributions" class="internal"><span class="title">Continuous Distributions</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-27.html" class="internal"><span class="title">Tuesday, Jan 27</span></a></div>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-27.html#subsec-continuous-2" class="internal"><span class="title">Continuous Distributions</span></a></div></li>
|
||||
<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-27.html#subsec-Joint-Distributions" class="internal"><span class="title">Joint Distributions</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-section">
|
||||
<div class="toc-title-box"><a href="notes-01-29.html" class="internal"><span class="title">Thursday, Jan 29</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-01-29.html#notes-01-29-3" class="internal"><span class="title">Expected Value</span></a></div></li></ul>
|
||||
</li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list contains-active">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet active"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="recitation-calculus-review.html" class="internal"><span class="title">Calculus Review</span></a></div></li></ul>
|
||||
</li>
|
||||
</ul></nav></div>
|
||||
<main class="ptx-main"><div id="ptx-content" class="ptx-content"><section class="worksheet" id="quiz-02" data-margins="0.75in 0.75in 0.75in 0.75in"><h2 class="heading hide-type">
|
||||
<span class="type">Worksheet</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber"></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Quiz 2</span><div class="print-links"><a href="quiz-02-printable.html" class="print-link" title="Print preview"><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></div>
|
||||
</h2>
|
||||
<section class="introduction" id="quiz-02-2"><div class="para" id="quiz-02-2-1">The following work should be completed individually. Use of notes or textbooks is not allowed. You may use a scientific calculator, not a graphing calculator or phone app.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="para" id="quiz-02-2-2">Show all work unless instructed otherwise.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-2-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div></section><section class="onepage" id="quiz-02-3"><article class="exercise exercise-like" id="quiz-02-3-1"><h3 class="heading"><span class="codenumber">1<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="quiz-02-3-1-1"><div class="para" id="quiz-02-3-1-1-1">Write either True or False for each of the following statements. No justification is required.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div></div>
|
||||
<article class="task exercise-like" id="quiz-02-3-1-2"><h4 class="heading"><span class="codenumber">(a)</span></h4>
|
||||
<div class="para" id="quiz-02-3-1-2-1-1">Let <span class="process-math">\(n, k\)</span> be integers with <span class="process-math">\(0 \leq k \leq n\text{.}\)</span> Then <span class="process-math">\({n\choose k} = {n \choose n - k}\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-1-2-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para" id="quiz-02-3-1-2-2-1">True.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 1.a.1"><a href="#quiz-02-3-1-2-2" title="Copy heading and permalink for Solution 1.a.1" aria-label="Copy heading and permalink for Solution 1.a.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 1.a"><a href="#quiz-02-3-1-2" title="Copy heading and permalink for Task 1.a" aria-label="Copy heading and permalink for Task 1.a">🔗</a></div></article><article class="task exercise-like" id="quiz-02-3-1-3"><h4 class="heading"><span class="codenumber">(b)</span></h4>
|
||||
<div class="para" id="quiz-02-3-1-3-1-1">Suppose <span class="process-math">\(X\)</span> is a continuous random variable with pdf <span class="process-math">\(f(x)\)</span> and cdf <span class="process-math">\(F(x)\text{.}\)</span> Then <span class="process-math">\(\displaystyle{\int_a^b f(x)\ dx = F(b) - F(a)}\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-1-3-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para" id="quiz-02-3-1-3-2-1">True.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-3-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 1.b.1"><a href="#quiz-02-3-1-3-2" title="Copy heading and permalink for Solution 1.b.1" aria-label="Copy heading and permalink for Solution 1.b.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 1.b"><a href="#quiz-02-3-1-3" title="Copy heading and permalink for Task 1.b" aria-label="Copy heading and permalink for Task 1.b">🔗</a></div></article><article class="task exercise-like" id="quiz-02-3-1-4"><h4 class="heading"><span class="codenumber">(c)</span></h4>
|
||||
<div class="para" id="quiz-02-3-1-4-1-1">Suppose <span class="process-math">\(X\)</span> is a random variable taking values between 0 and 6. Then <span class="process-math">\(\E(X) = 3\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-4-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-1-4-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para" id="quiz-02-3-1-4-2-1">False.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-1-4-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 1.c.1"><a href="#quiz-02-3-1-4-2" title="Copy heading and permalink for Solution 1.c.1" aria-label="Copy heading and permalink for Solution 1.c.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 1.c"><a href="#quiz-02-3-1-4" title="Copy heading and permalink for Task 1.c" aria-label="Copy heading and permalink for Task 1.c">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 1"><a href="#quiz-02-3-1" title="Copy heading and permalink for Worksheet Exercise 1" aria-label="Copy heading and permalink for Worksheet Exercise 1">🔗</a></div></article><article class="exercise exercise-like" id="quiz-02-3-2"><h3 class="heading"><span class="codenumber">2<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="quiz-02-3-2-1">
|
||||
<div class="para" id="quiz-02-3-2-1-1">Consider the joint distribution for <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\)</span> below.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<figure class="table table-like" id="quiz-02-3-2-1-2"><figcaption><span class="type">Table</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">90<span class="period heading-divison-mark heading-divison-mark__period">.</span></span><span class="space heading-divison-mark heading-divison-mark__space"> </span>Joint Distribution<div class="autopermalink" data-description="Table 90: Joint Distribution"><a href="#quiz-02-3-2-1-2" title="Copy heading and permalink for Table 90: Joint Distribution" aria-label="Copy heading and permalink for Table 90: Joint Distribution">🔗</a></div></figcaption><div class="tabular-box natural-width"><table class="tabular">
|
||||
<tr>
|
||||
<td class="c m b1 r1 l0 t0 lines"></td>
|
||||
<td class="c m b1 r0 l0 t0 lines"><span class="process-math">\(X = 0\)</span></td>
|
||||
<td class="c m b1 r0 l0 t0 lines"><span class="process-math">\(X = 1\)</span></td>
|
||||
<td class="c m b1 r0 l0 t0 lines"><span class="process-math">\(X = 2\)</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="c m b0 r1 l0 t0 lines"><span class="process-math">\(Y = 0\)</span></td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.1</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.05</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="c m b0 r1 l0 t0 lines"><span class="process-math">\(Y = 1\)</span></td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.3</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.15</td>
|
||||
<td class="c m b0 r0 l0 t0 lines">0.3</td>
|
||||
</tr>
|
||||
</table></div></figure>
|
||||
</div>
|
||||
<article class="task exercise-like" id="quiz-02-3-2-2"><h4 class="heading"><span class="codenumber">(a)</span></h4>
|
||||
<div class="para" id="quiz-02-3-2-2-1-1">Find the marginal distributions for <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-2-2-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-3-2-2-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-3-2-2-2-1-1">
|
||||
\begin{align*}
|
||||
\Pr(X = 0) \amp = 0.1 + 0.3 = 0.4 \\
|
||||
\Pr(X = 1) \amp = 0.05 + 0.15 = 0.2 \\
|
||||
\Pr(X = 2) \amp = 0.1 + 0.3 = 0.4 \\
|
||||
\Pr(Y = 0) \amp = 0.1 + 0.05 + 0.1 = 0.25 \\
|
||||
\Pr(Y = 1) \amp = 0.3 + 0.15 + 0.3 = 0.75
|
||||
\end{align*}
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 2.a.1"><a href="#quiz-02-3-2-2-2" title="Copy heading and permalink for Solution 2.a.1" aria-label="Copy heading and permalink for Solution 2.a.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 2.a"><a href="#quiz-02-3-2-2" title="Copy heading and permalink for Task 2.a" aria-label="Copy heading and permalink for Task 2.a">🔗</a></div></article><article class="task exercise-like" id="quiz-02-3-2-3"><h4 class="heading"><span class="codenumber">(b)</span></h4>
|
||||
<div class="para" id="quiz-02-3-2-3-1-1">Are <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\)</span> independent?<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-3-2-3-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-3-2-3-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-3-2-3-2-1-1">
|
||||
\begin{align*}
|
||||
\Pr(X = 2, Y = 0) \amp = 0.2 \\
|
||||
\Pr(X = 2)\Pr(Y = 0) \amp = (0.4)(0.25) = 0.1
|
||||
\end{align*}
|
||||
</div>
|
||||
<div class="para">Since <span class="process-math">\(0.2 \neq 0.1\text{,}\)</span> <span class="process-math">\(X\)</span> and <span class="process-math">\(Y\)</span> are not independent.</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-3-2-3-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 2.b.1"><a href="#quiz-02-3-2-3-2" title="Copy heading and permalink for Solution 2.b.1" aria-label="Copy heading and permalink for Solution 2.b.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 2.b"><a href="#quiz-02-3-2-3" title="Copy heading and permalink for Task 2.b" aria-label="Copy heading and permalink for Task 2.b">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 2"><a href="#quiz-02-3-2" title="Copy heading and permalink for Worksheet Exercise 2" aria-label="Copy heading and permalink for Worksheet Exercise 2">🔗</a></div></article></section><section class="onepage" id="quiz-02-4"><article class="exercise exercise-like" id="quiz-02-4-1"><h3 class="heading"><span class="codenumber">3<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="quiz-02-4-1-1"><div class="para" id="quiz-02-4-1-1-1">Suppose a continuous random variable <span class="process-math">\(X\)</span> taking values in <span class="process-math">\([0, 1]\)</span> has cdf <span class="process-math">\(F(x) = 2x^2 - x^4\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div></div>
|
||||
<article class="task exercise-like" id="quiz-02-4-1-2"><h4 class="heading"><span class="codenumber">(a)</span></h4>
|
||||
<div class="para" id="quiz-02-4-1-2-1-1">Find the pdf <span class="process-math">\(f(x)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-4-1-2-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-4-1-2-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-4-1-2-2-1-1">
|
||||
\begin{gather*}
|
||||
f(x) = F'(x) = 4x - 4x^3.
|
||||
\end{gather*}
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 3.a.1"><a href="#quiz-02-4-1-2-2" title="Copy heading and permalink for Solution 3.a.1" aria-label="Copy heading and permalink for Solution 3.a.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 3.a"><a href="#quiz-02-4-1-2" title="Copy heading and permalink for Task 3.a" aria-label="Copy heading and permalink for Task 3.a">🔗</a></div></article><article class="task exercise-like" id="quiz-02-4-1-3"><h4 class="heading"><span class="codenumber">(b)</span></h4>
|
||||
<div class="para" id="quiz-02-4-1-3-1-1">Find <span class="process-math">\(\E(X)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="solutions"><details id="quiz-02-4-1-3-2" class="solution solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Solution</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="solution solution-like knowl__content">
|
||||
<div class="para logical" id="quiz-02-4-1-3-2-1">
|
||||
<div class="displaymath process-math" id="quiz-02-4-1-3-2-1-1">
|
||||
\begin{align*}
|
||||
\E(X) \amp = \int_0^1 x f(x)\ dx \\
|
||||
\amp = \int_0^1 x (4x - 4x^3)\ dx \\
|
||||
\amp = \int_0^1 4x^2 - 4x^4\ dx \\
|
||||
\amp = \frac{4x^2}{3} - \frac{4x^5}{5}\bigg|_0^1 \\
|
||||
\amp = \left(\frac{4}{3} - \frac{4}{5}\right) - (0) \\
|
||||
\amp = \frac{8}{15} \approx 0.533.
|
||||
\end{align*}
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-02-4-1-3-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Solution 3.b.1"><a href="#quiz-02-4-1-3-2" title="Copy heading and permalink for Solution 3.b.1" aria-label="Copy heading and permalink for Solution 3.b.1">🔗</a></div>
|
||||
</div></details></div>
|
||||
<div class="autopermalink" data-description="Task 3.b"><a href="#quiz-02-4-1-3" title="Copy heading and permalink for Task 3.b" aria-label="Copy heading and permalink for Task 3.b">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 3"><a href="#quiz-02-4-1" title="Copy heading and permalink for Worksheet Exercise 3" aria-label="Copy heading and permalink for Worksheet Exercise 3">🔗</a></div></article></section><div class="autopermalink" data-description="Worksheet: Quiz 2"><a href="#quiz-02" title="Copy heading and permalink for Worksheet: Quiz 2" aria-label="Copy heading and permalink for Worksheet: Quiz 2">🔗</a></div></section></div>
|
||||
<div id="ptx-content-footer" class="ptx-content-footer">
|
||||
<a class="previous-button button" href="quiz-01.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="recitations.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
</div></main>
|
||||
</div>
|
||||
<div id="ptx-page-footer" class="ptx-page-footer">
|
||||
<a class="pretext-link" href="https://pretextbook.org" title="PreTeXt"><div class="logo"><svg xmlns="http://www.w3.org/2000/svg" height="100%" viewBox="338 3000 8772 6866" role="img"><title>PreTeXt logo</title><g style="stroke-width:.025in; stroke:currentColor; fill:none"><polyline points="472,3590 472,9732 " style="stroke-width:174; stroke-linejoin:miter; stroke-linecap:round; "></polyline><path style="stroke-width:126;stroke-linecap:butt;" d="M 4724,9448 A 4660 4660 0 0 1 8598 9259"></path><path style="stroke-width:174;stroke-linecap:butt;" d="M 4488,9685 A 4228 4228 0 0 0 472 9732"></path><path style="stroke-width:126;stroke-linecap:butt;" d="M 4724,3590 A 4241 4241 0 0 1 8598 3496"></path><path style="stroke-width:126;stroke-linecap:round;" d="M 850,3496 A 4241 4241 0 0 1 4724 3590"></path><path style="stroke-width:126;stroke-linecap:round;" d="M 850,9259 A 4507 4507 0 0 1 4724 9448"></path><polyline points="5385,4299 4062,8125" style="stroke-width:300; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="8598,3496 8598,9259" style="stroke-width:126; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="850,3496 850,9259" style="stroke-width:126; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="4960,9685 4488,9685" style="stroke-width:174; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="3070,4582 1889,6141 3070,7700" style="stroke-width:300; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="6418,4582 7600,6141 6418,7700" style="stroke-width:300; stroke-linejoin:miter; stroke-linecap:round;"></polyline><polyline points="8976,3590 8976,9732" style="stroke-width:174; stroke-linejoin:miter; stroke-linecap:round;"></polyline><path style="stroke-width:174;stroke-linecap:butt;" d="M 4960,9685 A 4228 4228 0 0 1 8976 9732"></path></g></svg></div></a><a class="runestone-link" href="https://runestone.academy" title="Runestone Academy"><img class="logo" src="https://runestone.academy/runestone/static/images/RAIcon_cropped.png" alt="Runstone Academy logo"></a><a class="mathjax-link" href="https://www.mathjax.org" title="MathJax"><img class="logo" src="https://www.mathjax.org/badge/badge-square-2.png" alt="MathJax logo"></a>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
+10
-4
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list active"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list active">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
@@ -229,7 +232,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
<main class="ptx-main"><div id="ptx-content" class="ptx-content"><section class="chapter" id="quizzes"><h2 class="heading hide-type">
|
||||
<span class="type">Chapter</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber"></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Quizzes</span>
|
||||
</h2>
|
||||
<nav class="summary-links"><ul><li><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></li></ul></nav><div class="autopermalink" data-description="Chapter: Quizzes"><a href="#quizzes" title="Copy heading and permalink for Chapter: Quizzes" aria-label="Copy heading and permalink for Chapter: Quizzes">🔗</a></div></section></div>
|
||||
<nav class="summary-links"><ul>
|
||||
<li><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></li>
|
||||
<li><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></li>
|
||||
</ul></nav><div class="autopermalink" data-description="Chapter: Quizzes"><a href="#quizzes" title="Copy heading and permalink for Chapter: Quizzes" aria-label="Copy heading and permalink for Chapter: Quizzes">🔗</a></div></section></div>
|
||||
<div id="ptx-content-footer" class="ptx-content-footer">
|
||||
<a class="previous-button button" href="notes-01-29.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="quiz-01.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
</div></main>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
@@ -292,7 +295,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
</div>
|
||||
<div class="workspace" data-space="2cm"></div>
|
||||
<div class="autopermalink" data-description="Task 4.b"><a href="#recitation-calculus-review-3-4-3" title="Copy heading and permalink for Task 4.b" aria-label="Copy heading and permalink for Task 4.b">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 4"><a href="#recitation-calculus-review-3-4" title="Copy heading and permalink for Worksheet Exercise 4" aria-label="Copy heading and permalink for Worksheet Exercise 4">🔗</a></div></article></section><section class="onepage" id="recitation-calculus-review-4"><article class="theorem theorem-like" id="thm-FTC"><h3 class="heading">
|
||||
<span class="type">Theorem</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">90</span><span class="period heading-divison-mark heading-divison-mark__period">.</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Fundamental Theorem of Calculus.</span>
|
||||
<span class="type">Theorem</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">91</span><span class="period heading-divison-mark heading-divison-mark__period">.</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Fundamental Theorem of Calculus.</span>
|
||||
</h3>
|
||||
<div class="para logical" id="thm-FTC-2-1">
|
||||
<div class="para">If <span class="process-math">\(F(x)\)</span> is an antiderivative of <span class="process-math">\(f(x)\)</span>—i.e., if <span class="process-math">\(F'(x) = f(x)\)</span>—then:</div>
|
||||
@@ -303,7 +306,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#thm-FTC-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Theorem 90: Fundamental Theorem of Calculus"><a href="#thm-FTC" title="Copy heading and permalink for Theorem 90: Fundamental Theorem of Calculus" aria-label="Copy heading and permalink for Theorem 90: Fundamental Theorem of Calculus">🔗</a></div></article><div class="para" id="recitation-calculus-review-4-2">If <span class="process-math">\(f(x)\)</span> is a probability density function (don’t worry about what that means for now), then integrals such as <span class="process-math">\(\int_a^b f(x)\ dx\)</span> are used to calculate certain probabilities, as are values of the form <span class="process-math">\(F(x)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#recitation-calculus-review-4-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
<div class="autopermalink" data-description="Theorem 91: Fundamental Theorem of Calculus"><a href="#thm-FTC" title="Copy heading and permalink for Theorem 91: Fundamental Theorem of Calculus" aria-label="Copy heading and permalink for Theorem 91: Fundamental Theorem of Calculus">🔗</a></div></article><div class="para" id="recitation-calculus-review-4-2">If <span class="process-math">\(f(x)\)</span> is a probability density function (don’t worry about what that means for now), then integrals such as <span class="process-math">\(\int_a^b f(x)\ dx\)</span> are used to calculate certain probabilities, as are values of the form <span class="process-math">\(F(x)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#recitation-calculus-review-4-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<article class="exercise exercise-like" id="recitation-calculus-review-4-3"><h3 class="heading"><span class="codenumber">5<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="recitation-calculus-review-4-3-1"><div class="para" id="recitation-calculus-review-4-3-1-1">Practice with the following integrals:<div class="autopermalink" data-description="Paragraph"><a href="#recitation-calculus-review-4-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
@@ -277,7 +280,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
</div>
|
||||
<div class="workspace" data-space="2cm"></div>
|
||||
<div class="autopermalink" data-description="Task 4.b"><a href="#recitation-calculus-review-3-4-3" title="Copy heading and permalink for Task 4.b" aria-label="Copy heading and permalink for Task 4.b">🔗</a></div></article><div class="autopermalink" data-description="Worksheet Exercise 4"><a href="#recitation-calculus-review-3-4" title="Copy heading and permalink for Worksheet Exercise 4" aria-label="Copy heading and permalink for Worksheet Exercise 4">🔗</a></div></article></section><section class="onepage" id="recitation-calculus-review-4"><article class="theorem theorem-like" id="thm-FTC"><h3 class="heading">
|
||||
<span class="type">Theorem</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">90</span><span class="period heading-divison-mark heading-divison-mark__period">.</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Fundamental Theorem of Calculus.</span>
|
||||
<span class="type">Theorem</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">91</span><span class="period heading-divison-mark heading-divison-mark__period">.</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Fundamental Theorem of Calculus.</span>
|
||||
</h3>
|
||||
<div class="para logical" id="thm-FTC-2-1">
|
||||
<div class="para">If <span class="process-math">\(F(x)\)</span> is an antiderivative of <span class="process-math">\(f(x)\)</span>—i.e., if <span class="process-math">\(F'(x) = f(x)\)</span>—then:</div>
|
||||
@@ -288,7 +291,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Paragraph"><a href="#thm-FTC-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<div class="autopermalink" data-description="Theorem 90: Fundamental Theorem of Calculus"><a href="#thm-FTC" title="Copy heading and permalink for Theorem 90: Fundamental Theorem of Calculus" aria-label="Copy heading and permalink for Theorem 90: Fundamental Theorem of Calculus">🔗</a></div></article><div class="para" id="recitation-calculus-review-4-2">If <span class="process-math">\(f(x)\)</span> is a probability density function (don’t worry about what that means for now), then integrals such as <span class="process-math">\(\int_a^b f(x)\ dx\)</span> are used to calculate certain probabilities, as are values of the form <span class="process-math">\(F(x)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#recitation-calculus-review-4-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
<div class="autopermalink" data-description="Theorem 91: Fundamental Theorem of Calculus"><a href="#thm-FTC" title="Copy heading and permalink for Theorem 91: Fundamental Theorem of Calculus" aria-label="Copy heading and permalink for Theorem 91: Fundamental Theorem of Calculus">🔗</a></div></article><div class="para" id="recitation-calculus-review-4-2">If <span class="process-math">\(f(x)\)</span> is a probability density function (don’t worry about what that means for now), then integrals such as <span class="process-math">\(\int_a^b f(x)\ dx\)</span> are used to calculate certain probabilities, as are values of the form <span class="process-math">\(F(x)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#recitation-calculus-review-4-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
</div>
|
||||
<article class="exercise exercise-like" id="recitation-calculus-review-4-3"><h3 class="heading"><span class="codenumber">5<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||||
<div class="introduction" id="recitation-calculus-review-4-3-1"><div class="para" id="recitation-calculus-review-4-3-1-1">Practice with the following integrals:<div class="autopermalink" data-description="Paragraph"><a href="#recitation-calculus-review-4-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -135,7 +135,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
<textarea class="embed-code-textbox" id="embed-code-textbox" readonly aria-label="textbox"><iframe src="https://example.com/embed" width="100%" height="1000"></iframe></textarea><button class="copy-embed-button button" id="copy-embed-button" title="Copy embed code"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Copy</span></button>
|
||||
</div>
|
||||
</div>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quiz-01.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="root-1-2.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="recitation-calculus-review.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="quiz-02.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="up-button button" href="root-1-2.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Up</span></a><a class="next-button button" href="recitation-calculus-review.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></span>
|
||||
</div></nav><div id="latex-macros" class="hidden-content process-math" style="display:none"><span class="process-math">\(\newcommand{\N}{\mathbb N}
|
||||
\newcommand{\Z}{\mathbb Z}
|
||||
\newcommand{\Q}{\mathbb Q}
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter contains-active">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
@@ -231,7 +234,7 @@ eBookConfig.enable_chatcodes = false;
|
||||
</h2>
|
||||
<nav class="summary-links"><ul><li><a href="recitation-calculus-review.html" class="internal"><span class="title">Calculus Review</span></a></li></ul></nav><div class="autopermalink" data-description="Chapter: Recitations"><a href="#recitations" title="Copy heading and permalink for Chapter: Recitations" aria-label="Copy heading and permalink for Chapter: Recitations">🔗</a></div></section></div>
|
||||
<div id="ptx-content-footer" class="ptx-content-footer">
|
||||
<a class="previous-button button" href="quiz-01.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="recitation-calculus-review.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
<a class="previous-button button" href="quiz-02.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Prev</span></a><a class="top-button button" href="#" title="Top"><span class="icon material-symbols-outlined" aria-hidden="true"></span><span class="name">Top</span></a><a class="next-button button" href="recitation-calculus-review.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true"></span></a>
|
||||
</div></main>
|
||||
</div>
|
||||
<div id="ptx-page-footer" class="ptx-page-footer">
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
@@ -101,14 +101,14 @@ eBookConfig.allow_pairs = false;
|
||||
eBookConfig.enableScratchAC = false;
|
||||
eBookConfig.build_info = "";
|
||||
eBookConfig.python3 = null;
|
||||
eBookConfig.runestone_version = '7.11.11';
|
||||
eBookConfig.runestone_version = '7.11.12';
|
||||
eBookConfig.jobehost = '';
|
||||
eBookConfig.proxyuri_runs = '';
|
||||
eBookConfig.proxyuri_files = '';
|
||||
eBookConfig.enable_chatcodes = false;
|
||||
</script>
|
||||
<!--*** Runestone Services ***-->
|
||||
<script src="_static/prefix-runtime.fc0e080e84d54281.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<script src="_static/prefix-runtime.0d5f811896ddeac1.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.e2abc79debce15fd.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
|
||||
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.6ec5960970d8b364.css">
|
||||
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
|
||||
</script>
|
||||
@@ -219,7 +219,10 @@ eBookConfig.enable_chatcodes = false;
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="quizzes.html" class="internal"><span class="title">Quizzes</span></a></div>
|
||||
<ul class="structural toc-item-list"><li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li></ul>
|
||||
<ul class="structural toc-item-list">
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-01.html" class="internal"><span class="title">Quiz 1</span></a></div></li>
|
||||
<li class="toc-item toc-worksheet"><div class="toc-title-box"><a href="quiz-02.html" class="internal"><span class="title">Quiz 2</span></a></div></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li class="toc-item toc-chapter">
|
||||
<div class="toc-title-box"><a href="recitations.html" class="internal"><span class="title">Recitations</span></a></div>
|
||||
|
||||
Reference in New Issue
Block a user