Question: Problem 2. A laboratory blood test is 93 percent effective in detecting a certain disease when it is, in fact, present. However, the test also

Problem 2. A laboratory blood test is 93 percent

Problem 2. A laboratory blood test is 93 percent effective in detecting a certain disease when it is, in fact, present. However, the test also yields a false positive re- sult for 2 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.02, the test result will imply he has the disease.) If 0.8 percent 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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