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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