# 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 0.79, 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 tuberkulosis is 0.05. What is the probability that a person chos

###### Question:

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 0.79, 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 tuberkulosis is 0.05. 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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