The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will be positive is 0.99. If a person does not have the disease, the probability that the test will still be positive is 0.01. a) What is the probability that a randomly selected person will test positive? b) If a person tests positive, what is the probability that the person actually has the disease? c) If a person tests negative, what is the probability that the person actually has the disease?

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