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In a particular country, 3% of the population is HIV positive. A test for HIV correctly diagnoses 95% of those who have the condition, but
In a particular country, 3% of the population is HIV positive. A test for HIV correctly diagnoses 95% of those who have the condition, but incorrectly diagnoses 4% of those who are not HIV positive as being HIV positive. A patient obtains a positive test result, apparently indicating the presence of HIV. Determine the probability that the patient is really HIV positive. Please round to three decimal places
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