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Public officials estimate the incidence of the HIV virus in the general population is about 0.4 percent. A test is introduced which when given to

Public officials estimate the incidence of the HIV virus in the general population is about 0.4 percent. A test is introduced which when given to people with HIV correctly identifies the virus 96% of the time. The test also gives a false positive 4% of the time. That is, the test result could be positive even though the person does not have HIV.

Of the people who test positive, what percent of them we actually expect to have the virus?

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