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  3. a certain virus infects one in every 400 people. a

A certain virus infects one in every 400 people. A test used to detect the...

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A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 85% of the time if the person has the virus and 8% of the time if the person does not have the virus. (This 8% 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. b) Find the probability that a person does not have the virus given that they test negative, i.e. find P(A' | B'). Round your answer to the nearest tenth of a percent and do not include a percent sign.

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