Attorneys often use lie detectors to test if a suspect is speaking the truth or not. It is found that the lie detector gives a positive result 64% of the time. The suspect is found to lie for 81% of the positive results and 15% of the negative results. a. If a suspect is actually lying, what is the probability that the lie detector gives a positive test result? Answer in exact fraction, or rounded to at least 4 decimal places b. If the suspect is not lying, what is the probability that the lie detector gives a negative result? Answer in exact fraction, or rounded to at least 4 decimal places

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.1: Percents And Fractions
Problem 33E
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Attorneys often use lie detectors to test if a suspect is speaking the truth or not. It is found that the lie detector gives a positive result 64% of the time. The
suspect is found to lie for 81% of the positive results and 15% of the negative results.
a. If a suspect is actually lying, what is the probability that the lie detector gives a positive test result?
Answer in exact fraction, or rounded to at least 4 decimal places
b. If the suspect is not lying, what is the probability that the lie detector gives a negative result?
Answer in exact fraction, or rounded to at least 4 decimal places
Transcribed Image Text:Attorneys often use lie detectors to test if a suspect is speaking the truth or not. It is found that the lie detector gives a positive result 64% of the time. The suspect is found to lie for 81% of the positive results and 15% of the negative results. a. If a suspect is actually lying, what is the probability that the lie detector gives a positive test result? Answer in exact fraction, or rounded to at least 4 decimal places b. If the suspect is not lying, what is the probability that the lie detector gives a negative result? Answer in exact fraction, or rounded to at least 4 decimal places
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