A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 89% of the time if the person has the virus (true positive) and 10% of the time if the person...

A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 89% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below.

	Infected	Not Infected	Total
Positive Test
Negative Test
Total	700	99,300	100,000

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) = %