A certain virus affects 0.6% of the population. A test used to detect the virus in a person is positive 85% 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 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 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. Total 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) = % %

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ISBN:9781119256830
Author:Amos Gilat
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A certain virus affects 0.6% of the population. A test used
to detect the virus in a person is positive 85% 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 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) =
%
Transcribed Image Text:A certain virus affects 0.6% of the population. A test used to detect the virus in a person is positive 85% 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 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) = %
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