Let A be the event that a person tests positive for a virus and let B be the event that the person actually has the virus. Suppose that the virus is present in 5% of the population. Because medical tests are sometimes incorrect, we have the probabilities
.98 = P (A | B) and .022 = P (A | B )
Find
(a) the probability of a positive test
(b) the probability person has the virus given that they test positive.

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The Answer of  Let A be the event that a person tests positive for a virus and let B be the event that the person actually has the virus. Suppose that the virus is present in 5% of the population. Because medical tests are sometimes incorrect, we have the probabilities
.98 = P (A | B) and .022 = P (A | B )
Find
(a) the probability of a positive test
(b) the probability person has the virus given that they test positive.

Let a Be the Event That a Person Tests Positive