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<p><span style="font-family: times new roman,times,serif;">In a sample of 1000 people (525 men and 475 women) 113 are left-handed (63 men and 50 women). The results of the sample are shown in the table. A person is selected at random from the sample. Find the probability of each event.</span></p> <table border="1" cellspacing="1" cellpadding="2" align="center"> <tbody> <tr> <td> </td> <td> </td> <td style="text-align: center;" colspan="3"><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Gender</strong></span></td> </tr> <tr> <td> </td> <td> </td> <td><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Men</strong></span></td> <td><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Women</strong></span></td> <td><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Total</strong></span></td> </tr> <tr> <td rowspan="3"> <p style="text-align: center;"> </p> <p style="text-align: center;"><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Dominant</strong></span><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Hand</strong></span></p> </td> <td><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Left</strong></span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">63</span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">50</span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">113</span></td> </tr> <tr> <td><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Right</strong></span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">462</span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">425</span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">667</span></td> </tr> <tr> <td><span style="color: #0000ff; font-family: times new roman,times,serif;"><strong>Total</strong></span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">525</span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">475</span></td> <td style="text-align: center;"><span style="font-family: times new roman,times,serif;">1000</span></td> </tr> </tbody> </table> <p> </p> <ol> <li><span style="font-family: times new roman,times,serif;">The person is left-handed or a woman. {2:NM:=0.538:0.0005}</span></li> <li><span style="font-family: times new roman,times,serif;">The person is right-handed or a man. {2:NM:=0.950:0.0005}</span></li> <li><span style="font-family: times new roman,times,serif;">The person is not right-handed or a man. {2:NM:=0.575:0.0005}</span></li> <li><span style="font-family: times new roman,times,serif;">The person is a right-handed woman. {2:NM:=0.425:0.0005}</span></li> <li><span style="font-family: times new roman,times,serif;">Are the events "being right-handed" and "being a woman" mutually exclusive? {2:MC:=No~Yes#A right-handed person can be a woman}</span></li> </ol>
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<ol> <li>0.538</li> <li>0.950</li> <li>0.575</li> <li>0.425</li> <li>Not mutually exclusive. A right-handed person can be a woman.</li> </ol>
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Tuesday, 5 November 2013, 10:16 AM
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