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A hospital is trying to understand the effectiveness of a test in diagnosing a disease. The...

A hospital is trying to understand the effectiveness of a test in diagnosing a disease. The following are facts about the disease and the test.

P(having disease) = .08

P(NOT having disease) = .92

P(negative test | NOT having disease ) = .87

P(positive test | having disease ) = .90

a) What is Pr(NOT having disease AND positive test)?

b) What is Pr(having disease | positive test)?

c) What is Pr(NOT having disease | negative test)?

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