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Unformatted text preview: Math 302.102 Fall 2010 Assignment #5 This assignment is due at the beginning of class on Wednesday, November 3, 2010. 1. One important use of Bayes Rule is in the context of a researcher soliciting responses to sensitive questions ; that is, questions to which a respondent is unlikely to answer truthfully due to the possibility of embarrassment or incrimination. Here is an example: Have you ever smoked marijuana? Instead of answering the researchers question directly, the respondent rolls a standard six-sided die, but does not show the researcher the result of the roll. If the number 1, 2, 3, or 4 appears, then the respondent answers the sensitive question truthfully. If the number 5 or 6 appears, then the respondent lies. Hence, the respondent answers only YES or NO. Since the researcher does not see the outcome of the die roll, the researcher has no idea whether or not the respondent is answering the sensitive question truthfully. Note that the respondent lies means that the respondent answers NO if the true answer is YES, and answers YES if the true answer is...
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