A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% 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 answer to 4 decimal places. P(A|B) = B) Find the probability that a person does not have the virus given that they test negative, i.e find P(A^c|B^c) =

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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 90% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% 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 answer to 4 decimal places. P(A|B) = B) Find the probability that a person does not have the virus given that they test negative, i.e find P(A^c|B^c) =
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