(Solved) A certain sport branch is considering a mandatory drug testing policy for the athletes competing in a tournament

A certain sport branch is considering a mandatory drug testing policy for the athletes competing in a tournament. Suppose that the test to be used will give either a positive” or a ,,negative indication. From previous testing it is known that if the tested person is a drug user there is a 0,92 probability that the test will be,, positive.’ In cases where the tested person is not a drug user, there is a 0,96 probability that the test will be “negative.” Assume that 10% of the athletes to be tested are drug users.

4. A certain sport branch is considering a mandatory drug testing policy for the athletes competing in a tournament. Suppose that the test to be used will give either a positive or a ,,negative indication. From previous testing it is known that if the tested person is a drug user there is a 0,92 probability that the test will be,,positive. In cases where the tested person is not a drug user, there is a 0,96 probability that the test will be negative. Assume that 10% of the athletes to be tested are drug users. Determine the probability that a randomly selected athlete will test positive for drug usıe ( ) 0,8% ( ) 3,6% ( ) 12,8% ( ) 71,990 ( ) 0,92% Assuming that a randomly selected athlete tests positive, determine the probability that he or she is actually a drug user ( ) 0,9% ( ) 3,6% ( ) 12,8% ( ) 71.9% ( ) 0,92% Assuming that a randomly selected athlete tests negative, determine the probability that he or she is actually a drug user ( ) 0,8% ( ) 3,6% ( ) 12,8% ( ) 71,9% ( ) 0,92%

Expert Answer


Let P denote positive test, and N denote negative test. D denotes drug user and D^c denote not a drug user. Then it’s given that \Pr(D) =0.10~,~\Pr(D^c)=1-0.10=0.90View the full answer
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