A certain virus infects one in every 300 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% 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(A|B)=
%
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.
P(A'|B')=