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Fall-2026-Math-1041/source/notes/1-20.ptx
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2026-01-22 08:40:40 -05:00

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<?xml version="1.0" encoding="UTF-8"?>
<section xml:id="notes-01-20">
<title>Tuesday 1/20</title>
<introduction>
<p>
This is an outline of the topics we covered in class.
These notes are <em>not</em> a substitute for your own note-taking.
I highly recommend that you take your own notes during class.
If you ever miss a class for any reason, reach out to another student in class to get a copy of their notes.
</p>
</introduction>
<subsection xml:id="subsec-Discrete-Random-Variables">
<title>Sec 2.1: Random Variables</title>
<definition xml:id="def-RV">
<statement>
<p>
A <term>random variable</term> is a function <m>X \colon \Omega \to \R</m>.
</p>
</statement>
</definition>
<p>
The idea is that <m>X</m> is a variable representing a real number value which depends on the outcome of an experiment.
</p>
<example>
<statement>
<p>
An experiment consists of planting 50 seeds in a garden, then growing them for 3 months.
Let <m>H_i</m> be the height of plant <m>i</m>.
</p>
</statement>
</example>
</subsection>
</section>