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Assume the probability of a certain disease is 0.01. The probability of test positive given that a person is infected with the disease is

Assume the probability of a certain disease is 0.01. The probability of test positive given that a person is infected with the disease is 0.95 and the probability of test positive given the person is not infected with the disease is 0.05. (a) Calculate the probability of test positive. (b) Use Bayes' Rule to calculate the probability of being infected with the disease given that the test is positive.

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