Mathematics, 28.01.2020 06:31, Jasten
An athletic league does drug testing of its athletes, 10 percent of whom use drugs. this test, however, is only 95 percent reliable. that is, a drug user will test positive with probability 0.95 and negative with probability 0.05, and a nonuser will test negative with probability 0.95 and positive with probability 0.05. develop a probability tree diagram to determine the posterior probability of each of the following outcomes of testing an athlete.
(a) the athlete is a drug user, given that the test is positive.
(b) the athlete is not a drug user, given that the test is positive.
(c) the athlete is a drug user, given that the test is negative.
(d) the athlete is not a drug user, given that the test is negative.
(e) use the corresponding excel template to check your answers in the preceding parts.
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