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?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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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%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe100b128-b242-4909-9c14-e0c61395c640%2F8001c388-44a5-4cd5-928e-c55e0a3db935%2Fi0q6jc6_processed.jpeg&w=3840&q=75)
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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