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Consider the Probabilities of People Taking HIV Tests

question 44

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Consider the probabilities of people taking HIV tests. Assume that the true probability of having HIV for all people who take the test is 3%. If HIV tests give a positive result in 99% of the cases in which the person has HIV and give a negative result in 99% of the cases in which the person does not have HIV, what is the probability that a person who gets a positive test result truly has HIV?

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