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identical symptoms. Suppose that a particular set of symptoms, which we will ny one of three illnesses A, B, or C occurs. For the sake of simplicity, w C are mutually exclusive. Studies show the following probabilities of gettin the symptoms H, given a specific illness, are as follows. ows the symptoms H, what is the probability that the person has illness A? places.

identical symptoms. Suppose that a particular set of symptoms, which we will ny one of three illnesses A, B, or C occurs. For the sake of simplicity, w C are mutually exclusive. Studies show the following probabilities of gettin the symptoms H, given a specific illness, are as follows. ows the symptoms H, what is the probability that the person has illness A? places.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q11. Different illnesses can produce identical symptoms. Suppose that 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 the following probabilities of getting the three illnesses. P(A) = 0.04 P(B) = 0.008 P(C) = 0.06 The probabilities of developing the symptoms H, given a specific illness, are as follows. P(HA) = 0.70 P(HB) = 0.85 P(H|C) = 0.75 Assuming that an ill person shows the symptoms H, what is the probability that the person has illness A? Round your final answer to 4 decimal places.
Transcribed Image Text:Q11. Different illnesses can produce identical symptoms. Suppose that 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 the following probabilities of getting the three illnesses. P(A) = 0.04 P(B) = 0.008 P(C) = 0.06 The probabilities of developing the symptoms H, given a specific illness, are as follows. P(HA) = 0.70 P(HB) = 0.85 P(H|C) = 0.75 Assuming that an ill person shows the symptoms H, what is the probability that the person has illness A? Round your final answer to 4 decimal places.
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