5. As of 2021, the country Swaziland in southern Africa (now officially named as Eswatini) had the highest HIV prevalence in the world. 25.9% of the country's entire population is infected with HIV. The Elisa Test is one of the first and most accurate HIV testing used in recent times. For those who carry the virus, Elisa test is 99.7% accurate. For those who do not have the virus, the test has 92.6% accuracy. If an individual from Eswatini tested positive, what is the probability that he/she carries the virus?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. As of 2021, the country Swaziland in southern Africa (now officially named as
Eswatini) had the highest HIV prevalence in the world. 25.9% of the country's entire
population is infected with HIV. The Elisa Test is one of the first and most accurate
HIV testing used in recent times. For those who carry the virus, Elisa test is 99.7%
accurate. For those who do not have the virus, the test has 92.6% accuracy. If an
individual from Eswatini tested positive, what is the probability that he/she carries
the virus?
Transcribed Image Text:5. As of 2021, the country Swaziland in southern Africa (now officially named as Eswatini) had the highest HIV prevalence in the world. 25.9% of the country's entire population is infected with HIV. The Elisa Test is one of the first and most accurate HIV testing used in recent times. For those who carry the virus, Elisa test is 99.7% accurate. For those who do not have the virus, the test has 92.6% accuracy. If an individual from Eswatini tested positive, what is the probability that he/she carries the virus?
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