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<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>
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<div class="toc-title-box"><a href="notes-01-13.html" class="internal"><span class="title">Tuesday, Jan 13</span></a></div>
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<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>
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<div class="toc-title-box"><a href="notes-01-15.html" class="internal"><span class="title">Thursday, Jan 15</span></a></div>
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<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>
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<div class="toc-title-box"><a href="notes-01-20.html" class="internal"><span class="title">Tuesday, Jan 20</span></a></div>
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<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>
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<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>
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<div class="toc-title-box"><a href="notes-01-22.html" class="internal"><span class="title">Thursday, Jan 22</span></a></div>
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<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>
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<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>
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<div class="toc-title-box"><a href="notes-01-27.html" class="internal"><span class="title">Tuesday, Jan 27</span></a></div>
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<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>
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<div class="toc-title-box"><a href="notes-01-29.html" class="internal"><span class="title">Thursday, Jan 29</span></a></div>
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<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>
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<div class="toc-title-box"><a href="notes-02-03.html" class="internal"><span class="title">Tuesday, Feb 3</span></a></div>
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<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-02-05.html#notes-02-05-4" class="internal"><span class="title">Covariance</span></a></div></li>
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<ul class="structural toc-item-list"><li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-02-10.html#notes-02-10-3" class="internal"><span class="title">Likelihood</span></a></div></li></ul>
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<ul class="structural toc-item-list"><li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-02-19.html#notes-02-19-3" class="internal"><span class="title">Central Limit Theorem</span></a></div></li></ul>
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<li class="toc-item toc-subsection"><div class="toc-title-box"><a href="notes-02-24.html#notes-02-24-3" class="internal"><span class="title">More Central Limit Theorem</span></a></div></li>
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<section class="worksheet" id="quiz-03" data-margins="0.5in 0.5in 0.5in 0.5in"><h2 class="heading hide-type">
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<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 3</span><div class="print-links"><a href="?printpreview=quiz-03" class="print-link" title="Print preview"><span class="icon material-symbols-outlined" aria-hidden="true"></span></a></div>
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<section class="introduction" id="quiz-03-2"><div class="para" id="quiz-03-2-1">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-03-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div>
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<div class="para" id="quiz-03-2-2">Show all work unless instructed otherwise.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-2-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div></section><section class="onepage" id="quiz-03-3"><article class="exercise exercise-like" id="quiz-03-3-1"><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-03-3-1-1"><div class="para" id="quiz-03-3-1-1-1">Write either True or False for each of the following statements. No justification is required.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-1-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div></div>
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<article class="task exercise-like" id="quiz-03-3-1-2"><h4 class="heading"><span class="codenumber">(a)</span></h4>
|
||
<div class="para" id="quiz-03-3-1-2-1-1">Suppose a parameter <span class="process-math">\(\theta \in (-\infty, \infty)\)</span> has likelihood function <span class="process-math">\(\mathcal{L}(\theta)\)</span> with <span class="process-math">\(\L'(\theta) = (1 - \theta)e^{\theta}\text{.}\)</span> Then the maximum likelihood estimation is <span class="process-math">\(\widehat{\theta} = 1\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-1-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div>
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<div class="solutions"><details id="quiz-03-3-1-2-2" 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">
|
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<div class="para" id="quiz-03-3-1-2-2-1">True.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-1-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div>
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<div class="autopermalink" data-description="Solution 1.a.1"><a href="#quiz-03-3-1-2-2" title="Copy heading and permalink for Solution 1.a.1" aria-label="Copy heading and permalink for Solution 1.a.1">🔗</a></div>
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</div></details></div>
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<div class="autopermalink" data-description="Task 1.a"><a href="#quiz-03-3-1-2" 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-03-3-1-3"><h4 class="heading"><span class="codenumber">(b)</span></h4>
|
||
<div class="para" id="quiz-03-3-1-3-1-1">Suppose <span class="process-math">\(X_1, \dotsc, X_n\)</span> are random variables, and <span class="process-math">\(S = X_1 + \dotsb + X_n\text{.}\)</span> Then, for sufficiently large <span class="process-math">\(n\text{,}\)</span> <span class="process-math">\(S \approx \operatorname{N}(0, 1)\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-1-3-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div>
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<div class="solutions"><details id="quiz-03-3-1-3-2" 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-03-3-1-3-2-1">False.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-1-3-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div>
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<div class="autopermalink" data-description="Solution 1.b.1"><a href="#quiz-03-3-1-3-2" title="Copy heading and permalink for Solution 1.b.1" aria-label="Copy heading and permalink for Solution 1.b.1">🔗</a></div>
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</div></details></div>
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<div class="autopermalink" data-description="Task 1.b"><a href="#quiz-03-3-1-3" 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-03-3-1-4"><h4 class="heading"><span class="codenumber">(c)</span></h4>
|
||
<div class="para" id="quiz-03-3-1-4-1-1">Suppose we collect data to estimate the value of a parameter <span class="process-math">\(\theta\text{.}\)</span> Based on the collected data, we find a 95% confidence interval <span class="process-math">\([a, b]\)</span> and a 90% confidence interval <span class="process-math">\([c, d]\text{.}\)</span> Then <span class="process-math">\(a \leq c \leq d \leq b\text{.}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-1-4-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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<div class="solutions"><details id="quiz-03-3-1-4-2" 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-03-3-1-4-2-1">True.<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-1-4-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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</div>
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<div class="autopermalink" data-description="Solution 1.c.1"><a href="#quiz-03-3-1-4-2" title="Copy heading and permalink for Solution 1.c.1" aria-label="Copy heading and permalink for Solution 1.c.1">🔗</a></div>
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</div></details></div>
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<div class="autopermalink" data-description="Task 1.c"><a href="#quiz-03-3-1-4" 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-03-3-1" 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-03-3-2"><h3 class="heading"><span class="codenumber">2<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||
<div class="para" id="quiz-03-3-2-1-1">The heights of five plants are measured and recorded below. Find the sample mean, sample variance, and a 95% confidence interval around the sample mean for the heights of the plants. (Pretend that 5 measurements is enough for the CLT to apply.)<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||
</div> <div class="tabular-box natural-width"><table class="tabular">
|
||
<tr class="header-horizontal">
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">Plant <span class="process-math">\(i\)</span>
|
||
</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">
|
||
<span class="process-math">\(H_i\)</span> (in)</th>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(1\)</span></td>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(13\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(2\)</span></td>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(14\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(3\)</span></td>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(10\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(4\)</span></td>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(15\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(5\)</span></td>
|
||
<td class="c m b0 r0 l0 t0 lines"><span class="process-math">\(17\)</span></td>
|
||
</tr>
|
||
</table></div>
|
||
<div class="solutions"><details id="quiz-03-3-2-2" 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-03-3-2-2-1">
|
||
<div class="para">Let <span class="process-math">\(A = \frac{H_1 + \dotsb + H_5}{5}\)</span> be the average height of the sample. Then:</div>
|
||
<div class="displaymath process-math" id="quiz-03-3-2-2-1-2">
|
||
\begin{align*}
|
||
A \amp = 13.8 \amp s^2 \amp = \frac{\sum H_i^2 - n(A^2)}{n - 1} = \frac{979 - 5(13.8^2)}{4} = 6.7 \\
|
||
\sum H_i^2 \amp = 979 \amp \sqrt{\frac{s^2}{n}} \amp = \sqrt{\frac{6.7}{5}} \approx 1.16
|
||
\end{align*}
|
||
</div>
|
||
<div class="para">So the 95% confidence limits are:</div>
|
||
<div class="displaymath process-math" id="quiz-03-3-2-2-1-3">
|
||
\begin{align*}
|
||
\mu_{\ell} \amp = 13.8 - 1.96(1.16) \approx \boxed{11.53} \\
|
||
\mu_{h} \amp = 13.8 + 1.96(1.16) \approx \boxed{16.07}
|
||
\end{align*}
|
||
</div>
|
||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-3-2-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||
</div>
|
||
<div class="autopermalink" data-description="Solution 2.1"><a href="#quiz-03-3-2-2" title="Copy heading and permalink for Solution 2.1" aria-label="Copy heading and permalink for Solution 2.1">🔗</a></div>
|
||
</div></details></div>
|
||
<div class="autopermalink" data-description="Worksheet Exercise 2"><a href="#quiz-03-3-2" 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-03-4"><article class="exercise exercise-like" id="quiz-03-4-1"><h3 class="heading"><span class="codenumber">3<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h3>
|
||
<div class="para" id="quiz-03-4-1-1-1">Suppose a coin comes up heads with probability 0.6. We flip the coin 80 times, and let <span class="process-math">\(S\)</span> be the number of heads. Estimate <span class="process-math">\(\Pr(42 \leq S \leq 50)\text{.}\)</span> (Use a continuity correction if appropriate.)<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-4-1-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||
</div>
|
||
<div class="solutions"><details id="quiz-03-4-1-2" 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-03-4-1-2-1">
|
||
<div class="para">
|
||
<span class="process-math">\(S \sim \Bin(80, 0.6)\text{,}\)</span> so <span class="process-math">\(\E(S) = (80)(0.6) = 48\)</span> and <span class="process-math">\(\Var(S) = (80)(0.6)(0.4) = 19.2\text{.}\)</span> By the CLT, <span class="process-math">\(S \approx \Norm(48, 19.2)\text{,}\)</span> so:</div>
|
||
<div class="displaymath process-math" id="quiz-03-4-1-2-1-5">
|
||
\begin{align*}
|
||
\Pr(42 \leq S \leq 50) \amp \approx \Pr\left( \frac{41.5 - 48}{\sqrt{19.2}} \leq Z \leq \frac{50.5 - 48}{\sqrt{19.2}}\right) \\
|
||
\amp \approx \Pr(-1.48 \leq Z \leq 0.57) \\
|
||
\amp = \Phi(0.57) - \Phi(-1.48) \\
|
||
\amp \approx 0.7157 - 0.0694 \\
|
||
\amp = \boxed{0.6463}
|
||
\end{align*}
|
||
</div>
|
||
<div class="autopermalink" data-description="Paragraph"><a href="#quiz-03-4-1-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
|
||
</div>
|
||
<div class="autopermalink" data-description="Solution 3.1"><a href="#quiz-03-4-1-2" title="Copy heading and permalink for Solution 3.1" aria-label="Copy heading and permalink for Solution 3.1">🔗</a></div>
|
||
</div></details></div>
|
||
<div class="workspace" data-space="1in"></div>
|
||
<div class="autopermalink" data-description="Worksheet Exercise 3"><a href="#quiz-03-4-1" title="Copy heading and permalink for Worksheet Exercise 3" aria-label="Copy heading and permalink for Worksheet Exercise 3">🔗</a></div></article><figure class="table table-like" id="quiz-03-4-2"><figcaption><span class="type">Table</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">126<span class="period heading-divison-mark heading-divison-mark__period">.</span></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="process-math">\(\Phi(z)\)</span> Values<div class="autopermalink" data-description="Table 126: \Phi(z) Values"><a href="#quiz-03-4-2" title="Copy heading and permalink for Table 126: \Phi(z) Values" aria-label="Copy heading and permalink for Table 126: \Phi(z) Values">🔗</a></div></figcaption><div class="tabular-box natural-width"><table class="tabular">
|
||
<tr class="header-horizontal">
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines"><span class="process-math">\(z\)</span></th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.00</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.01</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.02</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.03</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.04</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.05</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.06</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.07</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.08</th>
|
||
<th scope="col" class="c m b1 r0 l0 t0 lines">0.09</th>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">−1.6</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0548</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0537</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0526</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0516</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0505</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0495</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0485</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0475</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0465</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0455</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">−1.5</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0668</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0655</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0643</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0630</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0618</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0606</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0594</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0582</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0571</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0559</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">−1.4</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0808</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0793</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0778</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0764</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0749</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0735</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0721</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0708</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0694</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0681</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">−1.3</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0968</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0951</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0934</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0918</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0901</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0885</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0869</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0853</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0838</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.0823</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b1 r0 l0 t0 lines">−1.2</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1151</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1131</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1112</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1093</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1075</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1056</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1038</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1020</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.1003</td>
|
||
<td class="c m b1 r0 l0 t0 lines">0.0985</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">0.2</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.5793</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.5832</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.5871</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.5910</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.5948</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.5987</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6026</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6064</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6103</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6141</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">0.3</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6179</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6217</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6255</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6293</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6331</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6368</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6406</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6443</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6480</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6517</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">0.4</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6554</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6591</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6628</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6664</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6700</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6736</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6772</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6808</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6844</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6879</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">0.5</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6915</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6950</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6985</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7019</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7054</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7088</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7123</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7157</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7190</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7224</td>
|
||
</tr>
|
||
<tr>
|
||
<td class="c m b0 r0 l0 t0 lines">0.6</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7257</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7291</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7324</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7357</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7389</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7422</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7454</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7486</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7517</td>
|
||
<td class="c m b0 r0 l0 t0 lines">0.7549</td>
|
||
</tr>
|
||
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