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A test is available to diagnose a disease. If a person has the disease, the probability that the test will produce a positive signal is

A test is available to diagnose a disease. If a person has the disease, the probability that the test will produce a positive signal is 0.99. If a person does not have the disease, the probability that the test will produce a positive signal is 0.01. Assume that the proportion of people in the community who have the disease is 0.05.

Given that the test is positive, what is the probability that the person has the disease?

Given that the test is negative, what is the probability that the person does not have the disease?

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