(P4.77)- Medical Diagnostics Medical case histories indicate that different illnesses may produce......

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(P4.77)- Medical Diagnostics Medical case histories indicate that different illnesses may produce identical symptoms. Suppose a particular set of symptoms, which we will denote as event H, occurs only when any one of three illnesses—A, B, or C—occurs. (For the sake of simplicity, we will assume that illnesses A, B, and C are mutually exclusive.) Studies show these probabilities of getting the three illnesses:

P(A) = .01

P(B) = .005

P(C) = .02

The probabilities of developing the symptoms H, given a specific illness, are

P(H|A) = .90

P(H|B) = .95

P(H|C) = .75


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