A truth serum has the property that 93% of the guilty suspects are properly judged while, of course, 7% of the guilty  suspects are improperly found innocent. On the other hand, innocent suspects are misjudged 3% of the time. If the  suspect was selected from a group of suspects of which only 7% have ever committed a crime, and the serum  indicates that he is guilty, what is the probability that he is innocent?  Use Bayes theorem to solve.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A truth serum has the property that 93% of the guilty suspects are properly judged while, of course, 7% of the guilty 
suspects are improperly found innocent. On the other hand, innocent suspects are misjudged 3% of the time. If the 
suspect was selected from a group of suspects of which only 7% have ever committed a crime, and the serum 
indicates that he is guilty, what is the probability that he is innocent?  Use Bayes theorem to solve.

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