Question: Problem 2.52 Suppose the prevalence rate for a disease is 1/1,000. A diagnostic test has been developed which, when given to a person who has

Problem 2.52 Suppose the prevalence rate for a disease is 1/1,000. A diagnostic test has been developed which, when given to a person who has the disease, yields a positive result 99% of the time; while an individual without the disease shows a positive result only 2% of the time.

(a) A person is selected at random and is given the test. What is the probability that the test is positive?

(b) Compute the probability that a person selected at random who tests positive actually has the disease.

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