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A certain affects virus 0.1% of the population. A test used to detect the virus in a person is positive 87% of the time If

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A certain affects virus 0.1% 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 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. Infected Not Infected Total Positive Test Negative Test Total 100 99,900 100,000 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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