2.103 A truth serum has the property that 90% a 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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Chapter1: Combinatorial Analysis
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dentical relay stations at different locations. During
те cошрапу оpeгates thr
Review Exercises
2.103 A truth serum has the property that 90% o
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?
2.104 An allergist claims that 50% of the patients
she tests are allergic to some type of weed. What is
the probability that
(a) exactly 3 of her next 4 patients are allergic to
weeds?
th
natients is allergic to weeds?
Transcribed Image Text:dentical relay stations at different locations. During те cошрапу оpeгates thr Review Exercises 2.103 A truth serum has the property that 90% o 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? 2.104 An allergist claims that 50% of the patients she tests are allergic to some type of weed. What is the probability that (a) exactly 3 of her next 4 patients are allergic to weeds? th natients is allergic to weeds?
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