Medicine and Clinical Studies A tine test is a common method used to determine whether a person has been exposed to tuberculosis. Approximately 5% of people in the United States have been exposed to tuberculosis.41 Using the tine test, 95% of all people who have been exposed test positive, and 98% of those not exposed test negative. Suppose a person is randomly selected and given the tine test.
a. What is the probability that the person tests positive and has been exposed to tuberculosis?
b. What is the probability that the person tests positive?
c. Suppose the test is positive; what is the probability that the person actually has been exposed?