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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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:
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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