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  <name>Discrete Random Variables: Practice 3: Poisson Distribution</name>
  <metadata>
  <md:version>1.7</md:version>
  <md:created>2008/06/26 23:27:35 GMT-5</md:created>
  <md:revised>2008/08/15 14:10:59.652 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>illowskybarbara@deanza.edu</md:email>
    </md:author>
      <md:author id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>deansusan@deanza.edu</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="cnxorg">
      <md:firstname/>
      
      <md:surname>Connexions</md:surname>
      <md:email>cnx@cnx.org</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>elementary</md:keyword>
    <md:keyword>statistics</md:keyword>
  </md:keywordlist>

  <md:abstract>This module provides further practices and exercises on Poisson Distribution in statistics.</md:abstract>
</metadata>
  <content>
    <section id="element-975"><name>Student Learning Objectives</name><list id="element-09876" type="bulleted">
<item>The student will investigate the properties of a Poisson distribution.</item>
</list></section><section id="element-838"><name>Given</name>
<para id="element-668">
On average, ten teens are killed in the U.S. in teen-driven autos per day (USA Today, 3/1/2005).  As a result, states across the country are debating raising the driving age.
</para></section><section id="element-569"><name>Interpret the Data</name><exercise id="exerciseone">
<problem>
<para id="prob_1">In words, define the Random Variable <m:math><m:mi>X</m:mi></m:math>.</para>
</problem>
</exercise>

<exercise id="exercisetwo"><problem>
<para id="prob_2"><m:math><m:mi>X</m:mi></m:math> ~<m:math><m:mtext>______________</m:mtext></m:math></para>
</problem>
<solution>
<para id="element-88758234">P(10)</para>
</solution></exercise>

<exercise id="exercisethree"><problem>
<para id="prob_3">What values does <m:math>
<m:mi>X</m:mi>
</m:math>
take on?
</para>
</problem>
<solution>
<para id="element-88758324234">0,1,2,3,4,...</para>
</solution></exercise>

<exercise id="exercisefour">
<problem>
<para id="prob_4">For the given values of <m:math><m:mi>X</m:mi></m:math>, fill in the corresponding probabilities.<table id="element-222">
<?table-summary Partially filled table with the X values (0, 4, 8, 10, 11, 15) in the first column and P(X=x) values in the blank second column.?>
<tgroup cols="2"><thead>
  <row>
    <entry><m:math><m:mi>X</m:mi></m:math></entry>
    <entry><m:math><m:mtext>P(X=x)</m:mtext></m:math></entry>
  </row>
</thead>
<tbody>
  <row>
    <entry>0</entry>
    <entry/>
  </row>
  <row>
    <entry>4</entry>
    <entry/>
  </row>
  <row>
    <entry>8</entry>
    <entry/>
  </row>
  <row>
    <entry>10</entry>
    <entry/>
  </row>
  <row>
    <entry>11</entry>
    <entry/>
  </row>
  <row>
    <entry>15</entry>
    <entry/>
  </row>
</tbody>


</tgroup>
</table>  </para>
</problem>
</exercise>

<exercise id="exercisefive"><problem>
<para id="prob_5">Is it likely that there will be no teens killed in the U.S. in teen-driven autos on any given day? Numerically, why?</para>
</problem>
<solution>
<para id="element-887532428234">No</para>
</solution></exercise>

<exercise id="exercisesix"><problem>
<para id="prob_6">Is it likely that there will be more than 20 teens killed in the U.S. in teen-driven autos on any given day?   Numerically, why?</para>
</problem>
<solution>
<para id="element-88758232434">No</para>
</solution></exercise>
</section>
  </content>
  
</document>
