Question

A rare disease exists in 3% of the population. A medical test exists that can detect...

A rare disease exists in 3% of the population. A medical test exists that can detect (positive

results) this disease 98% of the time for those who do, in fact have this disease. On the other hand, 5% of the time positive results will come back for those who do not have this disease.

a. Draw a "tree diagram" illustrating this scenario. b. Determine the probability that a person will test positive. C. Determine the probability that a person who has tested positive does not have this

disease.

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