2.103 A truth serum has the property that 90% of the guilty suspects are properly judged while, of course, 10% of the guilty suspects are improperly found inno- cent. On the other hand, innocent suspects are mis- judged 1% of the time. If the suspect was selected from a group of suspects of which only 5% have ever committed a crime, and the serum indicates that he is guilty, what is the probability that he is innocent?
2.103 A truth serum has the property that 90% of the guilty suspects are properly judged while, of course, 10% of the guilty suspects are improperly found inno- cent. On the other hand, innocent suspects are mis- judged 1% of the time. If the suspect was selected from a group of suspects of which only 5% have ever committed a crime, and the serum indicates that he is guilty, what is the probability that he is innocent?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:2.103 A truth serum has the property that 90% of
the guilty suspects are properly judged while, of course,
10% of the guilty suspects are improperly found inno-
cent. On the other hand, innocent suspects are mis-
judged 1% of the time. If the suspect was selected
from a group of suspects of which only 5% have ever
committed a crime, and the serum indicates that he is
guilty, what is the probability that he is innocent?
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