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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" xmlns:m="http://www.w3.org/1998/Math/MathML" id="new">
  <name>Discrete Random Variables: Practice 5: Hypergeometric Distribution</name>
  <metadata>
  <md:version>1.7</md:version>
  <md:created>2008/06/27 00:21:12 GMT-5</md:created>
  <md:revised>2008/08/15 14:09:56.441 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 practice and exercises on Hypergeometric 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 hypergeometric distribution.</item>
</list></section><section id="element-838"><name>Given</name>
<para id="element-668">Suppose that a group of statistics students is divided into two groups: business majors and non-business majors.  There are 16 business majors in the group and 7 non-business majors in the group.  A random sample of 9 students is taken.  We are interested in the number of business majors in the group.</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> ~</para>
</problem>
<solution>
<para id="element-887582234234">H(16,7,9)</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-887582323425664">2,3,4,5,6,7,8,9</para>
</solution>
</exercise>

<exercise id="exercisefour">
<problem>
<para id="prob_4">Construct the probability distribution function (<m:math><m:mtext>PDF</m:mtext></m:math>) for <m:math><m:mi>X</m:mi></m:math>.<table id="element-222">
<?table-summary Blank table with the first column for X values and the second column for P(X=x) values. About 18 blank cells.?>
<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/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
  <row>
    <entry/>
    <entry/>
  </row>
</tbody>

</tgroup>
</table> 

</para>
</problem>
</exercise>

<exercise id="exercisefive"><problem>
<para id="prob_5">On average(<m:math><m:mi>μ</m:mi></m:math>), how many would you expect to be business majors?</para>
</problem>
<solution>
<para id="element-8875823423425234">6.26</para>
</solution>
</exercise>
</section>
  </content>
  
</document>
