The state medical school has discovered a new test for tuberculosis. (If the test indicates a person has tuberculosis, the test is positive.) Experimentation has shown that the probability of a positive test is 0.82, given that a person has tuberculosis. The probability is 0.08 that the test registers positive, given that the person does not have tuberculosis. Assume that in the general population, the probability that a person has tuberculosis is 0.02. What is the probability that a person chosen at random will fall in the following categories. (Enter your answers to four decimal places.) (a) have tuberculosis and have a positive test   (b) not have tuberculosis (c) not have tuberculosis and have a positive test

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