A machining operation produces bearings with diameters that are normally distributed with mean 3.0002 inches and standard deviation 0.0013 inch. Specifications require the bearing diameters to lie in the interval 3.000+ 0.0020 inches. Those outside the interval are considered scrap and must be remachined. Suppose that five bearings are randomly drawn from production. What is the probability that at least one is defective? (Round your answer to four decimal places.) You may need to use the appropriate appendix table or technology to answer this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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A machining operation produces bearings with diameters that are normally distributed with mean 3.0002 inches and standard deviation
0.0013 inch. Specifications require the bearing diameters to lie in the interval 3.000+ 0.0020 inches. Those outside the interval are
considered scrap and must be remachined.
Suppose that five bearings are randomly drawn from production. What is the probability that at least one is defective? (Round your
answer to four decimal places.)
You may need to use the appropriate appendix table or technology to answer this question.
Transcribed Image Text:A machining operation produces bearings with diameters that are normally distributed with mean 3.0002 inches and standard deviation 0.0013 inch. Specifications require the bearing diameters to lie in the interval 3.000+ 0.0020 inches. Those outside the interval are considered scrap and must be remachined. Suppose that five bearings are randomly drawn from production. What is the probability that at least one is defective? (Round your answer to four decimal places.) You may need to use the appropriate appendix table or technology to answer this question.
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