Problem 4 A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 10% of the time if the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". Write as a decimal rounded to the fourth. 1. Find the probability of an incorrect result 2. P(~AIB) 3. P(~A B) 4. P(AUB) 5. Given you tested positive, what's the probability of a correct result? Previous Next

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