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In: Statistics and Probability

A test for a disease gives a correct positive result with a probability of 0.95 when...

A test for a disease gives a correct positive result with a probability of 0.95 when the disease is present but gives an incorrect positive result (false positive) with a probability of 0.15 when the disease is not present. If 5% of the population has the disease, and Jean tests positive to the test, what is the probability Jean really has the disease?

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