A certain affects virus 0.2% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. InfectedNot InfectedTotal
Positive Test
Negative Test
Total20099,800100,000
a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Infected | Positive Test)=
%
b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Not Infected | Negative Test) =
%