Question

(XI suppose in a certain population, 8% of all adults over 50 have diabetes. If a community health service in this population correctly diagnoses 95% of all persons with diabetes as having the disease and incorrectly diagnoses 1% of all persons without diabetes as having the disease, find the probability that a) the community health service will diagnose an adult over 50 as having diabetes. b) a person over 50 diagnosed by the health service as having diabetes actually has the disease. c) a person over 50 diagnosed by the health service as not having diabetes actually does not have the disease.

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