A tine test is commonly used to determine whether a person has been exposed to tuberculosis. Approximately 4% of people in the United States have been exposed to tuberculosis. When the tine test is administered, 98% of all people who have been exposed test positive and 95% of those not exposed test negative. Suppose a person is randomly selected and given the tinetest.

Suppose the test is positive; what is the probability that the person actually has beenexposed?

P(exposedpositive)=

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