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A certain affects virus 0.3% of the population. A test used to detect the virus in a person is positive 90% of the time if

A certain affects virus 0.3% of the population. A test used to detect the virus in a person is positive 90% of the time if the person has the virus (true positive) and 11% 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.

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