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<p>The table shows the results of a survey that asked 3203 people whether they wear contavts or glasses. A person is selected at random from the sample. Find the probability of each event.</p> <table border="1" cellspacing="1" cellpadding="2" align="center"> <tbody> <tr> <td> </td> <td><span style="color: #0000ff;"><strong>Contacts</strong></span></td> <td><span style="color: #0000ff;"><strong>Glasses</strong></span></td> <td><span style="color: #0000ff;"><strong>Both</strong></span></td> <td><span style="color: #0000ff;"><strong>Neither</strong></span></td> <td><span style="color: #0000ff;"><strong>Total</strong></span></td> </tr> <tr> <td><span style="color: #0000ff;"><strong>Male</strong></span></td> <td style="text-align: center;">64</td> <td style="text-align: center;">841</td> <td style="text-align: center;">177</td> <td style="text-align: center;">456</td> <td style="text-align: center;">1538</td> </tr> <tr> <td><span style="color: #0000ff;"><strong>Female</strong></span></td> <td style="text-align: center;">189</td> <td style="text-align: center;">427</td> <td style="text-align: center;">368</td> <td style="text-align: center;">681</td> <td style="text-align: center;">1665</td> </tr> <tr> <td><span style="color: #0000ff;"><strong>Total</strong></span></td> <td style="text-align: center;">253</td> <td style="text-align: center;">1268</td> <td style="text-align: center;">545</td> <td style="text-align: center;">1137</td> <td style="text-align: center;">3203</td> </tr> </tbody> </table> <p> </p> <ol> <li>The person wears contacts or glasses. {2:NM:=0.475:0.0005}</li> <li>The person is male or wears both contacts and glasses. {2:NM:=0.595:0.0005}</li> <li>The person is female or wears neither contacts or glasses. {2:NM:=0.662:0.0005}</li> <li>The person is male or does not wear glasses. {2:NM:=0.752:0.0005}</li> <li>Are the events "wearing contacts" and "wearing both contacts and glasses" mutually exclusive? {1:MC:=Yes~No#In this case, a person who wears both contacts and glasses is different than a person who wears only glasses.}</li> </ol>
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<ol> <li>0.475</li> <li>0.595</li> <li>0.662</li> <li>0.752</li> <li>Mutually exclusive. In this case, a person who wears both contacts and glasses is different than a person who wears only glasses.</li> </ol>
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Tuesday, 5 November 2013, 10:16 AM
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