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<p><strong>Overtime Hours<br /></strong></p> <p>Use the frequency distribution to construct a probability distribution.</p> <p style="text-align: center;">The number of overtime hours worked in one week per employee.</p> <table style="border-color: #0c02fc; border-width: 2px;" border="2" frame="border" rules="all" cellspacing="2" cellpadding="2" align="center"> <tbody> <tr> <td><strong><span style="font-size: medium;">Overtime hours<br /></span></strong></td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»1«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»4«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»6«/mn»«/math»</td> </tr> <tr> <td><strong><span style="font-size: medium;">Employees</span></strong></td> <td style="text-align: center;">#a</td> <td style="text-align: center;">#b</td> <td style="text-align: center;">#c</td> <td style="text-align: center;">#d</td> <td style="text-align: center;">#e</td> <td style="text-align: center;">#f</td> <td style="text-align: center;">#g</td> </tr> </tbody> </table> <p> </p> <ol> <li> <table style="border-color: #0b01fd; border-width: 2px;" border="2" frame="box" cellspacing="2" cellpadding="2"> <tbody> <tr> <td>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»</td> <td>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»</td> </tr> <tr> <td><span style="font-size: small;">0</span></td> <td>{1:SA:\*~=\#i}</td> </tr> <tr> <td><span style="font-size: small;">1</span></td> <td>{1:SA:\*~=\#j}</td> </tr> <tr> <td><span style="font-size: small;">2</span></td> <td>{1:SA:\*~=\#k}</td> </tr> <tr> <td><span style="font-size: small;">3</span></td> <td>{1:SA:\*~=\#l}</td> </tr> <tr> <td><span style="font-size: small;">4</span></td> <td>{1:SA:\*~=\#m}</td> </tr> <tr> <td><span style="font-size: small;">5</span></td> <td>{1:SA:\*~=\#n}</td> </tr> <tr> <td><span style="font-size: small;">6</span></td> <td>{1:SA:\*~=\#o}</td> </tr> </tbody> </table> </li> <li>Find the mean to 3 significant digits.<br />«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {1:SA:=\#me~\*}<br /><br /></li> <li>Find the variance to 3 significant digits.<br />«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {1:SA:=\#var~\*}<br /><br /></li> <li>Find the standard deviation to 3 significant digits.<br />«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {1:SA:=\#sd~\*}</li> </ol> <p> </p>
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