According to a study published in a reputable science​ magazine, about 8 women in​ 100,000 have cervical cancer​ (C), so ​P(C)=0.00008. Suppose the chance that a Pap smear will detect cervical cancer when it is present is 0.89. ​Therefore, P(test pos|C)=0.89. What is the probability that a randomly chosen woman who has this test will both have cervical cancer AND test positive for​ it?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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According to a study published in a reputable science​ magazine, about

8

women in​ 100,000 have cervical cancer​ (C), so

​P(C)=0.00008.

Suppose the chance that a Pap smear will detect cervical cancer when it is present is

0.89.

​Therefore,

P(test pos|C)=0.89.

What is the probability that a randomly chosen woman who has this test will both have cervical cancer AND test positive for​ it?

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