Question: Problem 2: A laboratory blood test is 95% effective in detecting a certain disease when it is, in fact, present. However, the test also yields

Problem 2: A laboratory blood test is 95% effective in detecting a certain disease when it is, in fact, present. However, the test also yields a \"false positive\" result for 1% of the healthy persons tested; that is, if a healthy person is tested, then, with probability 0.01, the test result will imply he has the disease. If 0.5% of the population actually has the disease, what is the probability a person has the disease given that his test result is positive

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