A drug-screening test is used in a large population of

Chapter 9, Problem 14E

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A drug-screening test is used in a large population of people of whom 4% actually use drugs. Suppose that the false positive rate is 3% and the false negative rate is 2%. Thus a person who uses drugs tests positive for them 98% of the time, and a person who does not use drugs tests negative for them 987% of the time.a. What is the probability that a randomly chosen person who tests positive for drugs actually uses drugs?b. What is the probability that a randomly chosen person who tests negative for drugs does not use drugs?

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