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.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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