A lie detector will show a positive reading (indicate a lie) 10% of the time when a

Chapter 2, Problem 2.114

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A lie detector will show a positive reading (indicate a lie) 10% of the time when a person is telling the truth and 95% of the time when the person is lying. Suppose two people are suspects in a one-person crime and (for certain) one is guilty and will lie. Assume further that the lie detector operates independently for the truthful person and the liar. What is the probability that the detector a shows a positive reading for both suspects? b shows a positive reading for the guilty suspect and a negative reading for the innocent suspect? c is completely wrongthat is, that it gives a positive reading for the innocent suspect and a negative reading for the guilty? d gives a positive reading for either or both of the two suspects?

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