A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 85% 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(AIB).
Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(AB)=
b) Find the probability that a person does not have the virus given that they test negative, i. e. find
P(AB). Round your answer to the nearest tenth of a percent and do not include a percent sign.
PAB) =