Question: Suppose a person is randomly drawn from a large population and then tested for a disease. Only 1% of the population has the disease, and

Suppose a person is randomly drawn from a large population and then tested for a disease. Only 1% of the population has the disease, and of those with the disease, a positive antibody test is 97% accurate in detecting the disease. For those without the disease, there is a 1% chance the test returns a positive result. Let D = 1 if the person has the disease and 0 otherwise. Let T = 1 if the person tests positive and 0 otherwise.

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