Question

If an athlete is tested for a certain type of drug usage, then the test will come out either positive or negative. However, these tests are never perfect. Some athletes who are drug free test positive, and some who are drug users test negative. The former are called false positives; the latter are called false negatives. Assume that 5% of all athletes use drugs, 4% of all tests on drug-free athletes yield false positives, and 10% of all tests on drug users yield false negatives. Define the events as follows: Free: an athlete is drug free. User: an athlete is a drug user. Positive: an athlete is tested positive Negative: an athlete is tested negative. Then, we have P(User) - 0.05, P(Positive Free) = 0.04, and P(Negative User) - 0.10, What is the probability that a randomly selected athlete tests positive, P(Positive)? a. 0.083 b. 0.127 c. 0.308 d. 0.312

Answer 1

Answer:

positive...............