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You are given the probability tree diagram below. What is the probability that a person has cancer, given a positive test result P(cancer positive test), where a positive test result indicates that the person has cancer?

You are given the probability tree diagram below. What is the probability that a person has cancer, given a positive test result P(cancer positive test), where a positive test result indicates that the person has cancer?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 33E
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You are given the probability tree diagram below. What is the probability that a person has cancer, given a positive test result P(cancer positive test), where a positive test result indicates that the person has cancer? 0.555556 P(Positive Test | Cancer) 0.018 P(Cancer) P(Negative Test | Cancer) 0.444444 P(No Cancer) P(Positive Test | No Cancer) 0.122200 0.982 P(Negative Test | No Cancer) 0.8778 O 5.5% < P(cancer | positive test) < 6.5% O 6.5% < P(cancer | positive test) < 7.5% O 7.5% < P(cancer | positive test) < 8.5% O 8.5% < P(cancer | positive test) < 9.5% O 9.5% < P(cancer | positive test) < 10.5% O 10.5% < P(cancer | positive test) < 11.5% O 11.5% < P(cancer | positive test) < 12.5% O 12.5% < P(cancer | positive test) < 13.5% O 13.5% < P(cancer | positive test) < 14.5% O 14.5% < P(cancer | positive test) < 15.5%
Transcribed Image Text:You are given the probability tree diagram below. What is the probability that a person has cancer, given a positive test result P(cancer positive test), where a positive test result indicates that the person has cancer? 0.555556 P(Positive Test | Cancer) 0.018 P(Cancer) P(Negative Test | Cancer) 0.444444 P(No Cancer) P(Positive Test | No Cancer) 0.122200 0.982 P(Negative Test | No Cancer) 0.8778 O 5.5% < P(cancer | positive test) < 6.5% O 6.5% < P(cancer | positive test) < 7.5% O 7.5% < P(cancer | positive test) < 8.5% O 8.5% < P(cancer | positive test) < 9.5% O 9.5% < P(cancer | positive test) < 10.5% O 10.5% < P(cancer | positive test) < 11.5% O 11.5% < P(cancer | positive test) < 12.5% O 12.5% < P(cancer | positive test) < 13.5% O 13.5% < P(cancer | positive test) < 14.5% O 14.5% < P(cancer | positive test) < 15.5%
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