pose a 15 minute rapid antigen test for the SARS-CoV-2 virus is 80.2% effective in detecting the virus when it is present. However, the test also yields a false positive 8% of the time. Assume that 3.39% of people living in Queens, New York has the virus. If a person living in Queens takes the test and the test comes back positive (meaning the test has detected the virus), then what is the probability this person actually has the virus? (If needed, round to four decimal places).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose a 15 minute rapid antigen test for the SARS-CoV-2 virus is 80.2% effective
in detecting the virus when it is present. However, the test also yields a false positive 8% of
the time. Assume that 3.39% of people living in Queens, New York has the virus. If a person
living in Queens takes the test and the test comes back positive (meaning the test has detected
the virus), then what is the probability this person actually has the virus? (If needed, round
to four decimal places).

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