Question: QUESTION 40 3.7 A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 80%

QUESTION 40 3.7 A certain virus infects one in every 400 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." a) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(AIB)= b) Find the probability that a person does not have the virus given that they test negative, i.e. find P(A'IB'). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(A'IB') = 0.999

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