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 <question type="category"><category><text>Discrete Probability Distributions/Probability Distributions</text></category></question>
 
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      <text>Question 25</text>
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      <text><![CDATA[<p><strong>Tires</strong></p>
<p>A mechanic check the tire pressures on each car that he worked on for one week.  The random variable x represents the number of tires that were underinflated.  Decide whether the distribution is a probability distribution.  If it is not a probability distribution, identify the property (or properties) that are not satisfied.</p>
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<td style="text-align: center;"><em><strong><span style="font-size: small;">x</span></strong></em></td>
<td style="text-align: center;"><span style="font-size: small;">0</span></td>
<td style="text-align: center;"><span style="font-size: small;">1</span></td>
<td style="text-align: center;"><span style="font-size: small;">2</span></td>
<td style="text-align: center;"><span style="font-size: small;">3</span></td>
<td style="text-align: center;"><span style="font-size: small;">4</span></td>
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<td style="text-align: center;"><em><strong><span style="font-size: small;">P(x)</span></strong></em></td>
<td style="text-align: center;"><span style="font-size: small;">0.30</span></td>
<td style="text-align: center;"><span style="font-size: small;">0.25</span></td>
<td style="text-align: center;"><span style="font-size: small;">0.25</span></td>
<td style="text-align: center;"><span style="font-size: small;">0.15</span></td>
<td style="text-align: center;"><span style="font-size: small;">0.05</span></td>
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    <hidden>0</hidden>
    <single>false</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
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      <text><![CDATA[<p>Yes, the distribution is a probability distribution.</p>]]></text>
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      <text><![CDATA[<p>No, the distribution is not a probability distribution.</p>]]></text>
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      <text><![CDATA[<p>The sumation of the random variable probabilities is not equal to 1.</p>]]></text>
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      <text><![CDATA[<p>One of the random variable probabilities is less than 0 or greater than 1.</p>]]></text>
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