A medical test has been designed to detect the presence of acertain disease. Among people who have the disease, the probabilitythat the disease will be detected by the test is 0.93. However, theprobability that the test will erroneously indicate the presence ofthe disease in those who do not actually have it is 0.03. It isestimated that 3% of the population who take this test have thedisease. (Round your answers to three decimal places.)
(a) If the test administered to an individual is positive, whatis the probability that the person actually has the disease?
(b) If an individual takes the test twice and the test is positiveboth times, what is the probability that the person actually hasthe disease? (Assume that the tests are independent.)
