<?xml version="1.0" encoding="UTF-8"?>
<quiz>
 <!-- categoryid: 552 -->
 <question type="category"><category><text>Discrete Probability Distributions/Probability Distributions</text></category></question>
 
 <!-- resourceid-resourcedataid: 5553-4968 -->
 <question type="multianswerwiris">
    <name>
      <text>Question 40</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p><strong>Carpooling</strong></p>
<p>The histogram shows the distribution of carpooling by the number of cars per household.</p>
<p style="text-align: center;"> <img src="@@PLUGINFILE@@/Question40.jpg" alt="" width="362" height="231" /></p>
<ol>
<li>Find the mean of the probability distribution to three significant digits.<br />{#1}<br /><br /></li>
<li>Find the variance of the probability distribution to three significant digits.<br />{#2}<br /><br /></li>
<li>Find the standard deviation of the probability distribution to three significant digits.<br />{#3}<br /><br /></li>
<li>Find the expected value of the probability distribution to three significant digits.<br />{#4}</li>
</ol>]]></text>
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