Question: A diagnostic test for a certain disease has 95% sensitivity; that is a person with the disease has probability 95% of having positive result for

  1. A diagnostic test for a certain disease has 95% sensitivity; that is a person with the disease has probability 95% of having positive result for the test. At the same time, the test has 95% specificity; that is, a person without the disease will have 95% probability of having negative result for the test. Suppose only 1% of the population has the disease. (a). If someone has a positive result for the test, what is the probability that the person does, in fact, has the disease? (b). If someone has a negative result for the test, what is the probability that the person does not have the disease?

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