A medical clinic uses a pregnancy test to confirm pregnancy in patients who suspect they are pregnant. Historically data has shown that overall, 80% of the women at this clinic who are given the pregnancy test are pregnant, but 20% are not. The test's manufacturer indicates that if a woman is pregnant, the test will be positive 90% of the time. But if a woman is not pregnant, the test will be positive only 2% of the time and will be negative 98% of the time. a. What is the probability that a woman at this clinic is not pregnant and tests positive? Answer: b. What is the probability that a woman at this clinic is not pregnant given that she tests positive. Answer:
A medical clinic uses a pregnancy test to confirm pregnancy in patients who suspect they are pregnant. Historically data has shown that overall, 80% of the women at this clinic who are given the pregnancy test are pregnant, but 20% are not. The test's manufacturer indicates that if a woman is pregnant, the test will be positive 90% of the time. But if a woman is not pregnant, the test will be positive only 2% of the time and will be negative 98% of the time. a. What is the probability that a woman at this clinic is not pregnant and tests positive? Answer: b. What is the probability that a woman at this clinic is not pregnant given that she tests positive. Answer:
A First Course in Probability (10th Edition)
10th Edition
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A medical clinic uses a pregnancy test to confirm pregnancy in patients who suspect they are pregnant. Historically data has shown that overall,
80% of the women at this clinic who are given the pregnancy test are pregnant, but 20% are not. The test's manufacturer indicates that if a
woman is pregnant, the test will be positive 90% of the time. But if a woman is not pregnant, the test will be positive only 2% of the time and will
be negative 98% of the time.
a. What is the probability that a woman at this clinic is not pregnant and tests positive? Answer:
b. What is the probability that a woman at this clinic is not pregnant given that she tests positive. Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe549290e-d8c8-4561-8c87-b69a879da176%2F4e72132d-f134-46d1-bf52-5f82c3071ae0%2Fs56u7p5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A medical clinic uses a pregnancy test to confirm pregnancy in patients who suspect they are pregnant. Historically data has shown that overall,
80% of the women at this clinic who are given the pregnancy test are pregnant, but 20% are not. The test's manufacturer indicates that if a
woman is pregnant, the test will be positive 90% of the time. But if a woman is not pregnant, the test will be positive only 2% of the time and will
be negative 98% of the time.
a. What is the probability that a woman at this clinic is not pregnant and tests positive? Answer:
b. What is the probability that a woman at this clinic is not pregnant given that she tests positive. Answer:
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