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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.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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