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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Solved: E.P.T. Pregnancy Tests The packaging of an E.P.T.

Chapter 10, Problem 22AYU

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QUESTION:

E.P.T. Pregnancy Tests  The packaging of an E.P.T. Pregnancy Test states that the test is “99% accurate at detecting typical pregnancy hormone levels.” Assume that the probability that a test will correctly identify a pregnancy is 0.99 and that 12 randomly selected pregnant women with typical hormone levels are each given the test.

(a) What is the probability that all 12 tests will be positive?

(b) What is the probability that at least one test will not be positive?

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QUESTION:

E.P.T. Pregnancy Tests  The packaging of an E.P.T. Pregnancy Test states that the test is “99% accurate at detecting typical pregnancy hormone levels.” Assume that the probability that a test will correctly identify a pregnancy is 0.99 and that 12 randomly selected pregnant women with typical hormone levels are each given the test.

(a) What is the probability that all 12 tests will be positive?

(b) What is the probability that at least one test will not be positive?

ANSWER:

Step 1 of 3

Assume that the probability that a test will correctly identify a pregnancy is 0.99 and that 12 randomly selected pregnant women with typical hormone levels are each given the test.

(a) What is the probability that all 12 tests will be positive?

(b) What is the probability that at least one test will not be positive?

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