Drug tests are designed with a known sensitivity. However, those interested in such tests want to know the probability that the person tested actually used the drug given that the test was positive. Using appropriate notation, write out and solve for the probability of interest. Assume the accuracy of the test is 99% and that 0.5% of the population uses the drug.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Drug tests are designed with a known sensitivity. However, those interested in such tests want to know the probability that the person tested actually used the drug given that the test was positive. Using appropriate notation, write out and solve for the probability of interest. Assume the accuracy of the test is 99% and that 0.5% of the population uses the drug.
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The accuracy of the test is 99% and that 0.5% of the population uses the drug.

PDrug=0.5100=0.005PNo drug=1-PDrug=1-0.005=0.995

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