information and find the probability that a woman who uses the test is pregnant and tests positive. Find also the probability of a false positive and, hence, comment on the reliability of the test.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question 5
A certain brand of pregnancy test will be positive for a pregnant woman 84% of the time. It
correctly returns a negative test in 79% of woman that are not pregnant. Given that one in
five woman who take the test are actually pregnant, draw a tree diagram to represent this
information and find the probability that a woman who uses the test is pregnant and tests
positive. Find also the probability of a false positive and, hence, comment on the reliability of
the test.
Transcribed Image Text:Question 5 A certain brand of pregnancy test will be positive for a pregnant woman 84% of the time. It correctly returns a negative test in 79% of woman that are not pregnant. Given that one in five woman who take the test are actually pregnant, draw a tree diagram to represent this information and find the probability that a woman who uses the test is pregnant and tests positive. Find also the probability of a false positive and, hence, comment on the reliability of the test.
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