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There is a brand new blood test for a certain virus that will determine whether you...

There is a brand new blood test for a certain virus that will determine whether you have been exposed to the virus. It is known that in the population, 7.3% have been exposed to the virus. If the patient has been exposed to the virus, then the test returns
• positive 63% of the time
• negative 23% of the time
• INCONCLUSIVE 14% of the time
If the patient hasn't been exposed to the virus, then the test returns
• negative 91.5% of the time
• positive 1.5% of the time
• INCONCLUSIVE 7.0% of the time
(a) What is the probability that you get an INCONCLUSIVE result?

(b) What is the probability of a true positive? A false negative?

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