13:19
A certain affects virus 0.6% of the population. A test used to detect the virus in a person is positive
87% of the time if the person has the virus (true positive) and 15% 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.
Infected
Not Infected
Positive Test
Negative Test
Total
Total
600
99,400
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) =
96
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