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Conditional Probability in Medical Testing

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A diagnostic test for a specific disease has a sensitivity of 0.95 (the probability of a positive test for an individual with the disease) and a specificity of 0.90 (the probability of a negative test for an individual without the disease). If the prevalence of the disease in a population is 2%, what is the probability that a person who tests positive actually has the disease?

A

0.02

B

0.83

C

0.16

D

0.95

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