Mathematics, 11.01.2020 05:31 314180
Air traffic controllers are required to undergo random drug testing. a urine test detects the presence of amphetamines and barbiturates. the sensitivity of the test is known to be .96 and the specificity is .93. based on past drug testing of air traffic controllers, the faa reports that the probability of drug use at a given time is .007.
a. what is the probability that a randomly selected air traffic controller will test positive? (if the test comes back positive, the individual will have to undergo a second test that is more accurate, but more expensive than the urine test.)
b. find the probability that a person truly uses drugs, given that his test is positive, i. e.,find the positive predictive value.21
c. find the probability that the individual is not a drug user given that the test result is negative i. e. negative predictive valued. how does the positive predictive value change if the prevalence rate increases to 15%?
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