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A factory has two production lines À and B, production line A works 7 days a week, production line B works only 5 days a week. Production line A produces 5000 items each day where 84% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 68% of the produced items are high quality, 13% medium quality, and the rest are of low quality. All items produced after working for many weeks are accumulated in a warehouse. If an item is tested and found to be of medium quality, what is the probability that it was produced by production line A [The answer should be a number rounded to

A factory has two production lines À and B, production line A works 7 days a week, production line B works only 5 days a week. Production line A produces 5000 items each day where 84% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 68% of the produced items are high quality, 13% medium quality, and the rest are of low quality. All items produced after working for many weeks are accumulated in a warehouse. If an item is tested and found to be of medium quality, what is the probability that it was produced by production line A [The answer should be a number rounded to

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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A factory has two production lines A and B, production line A works 7 days a week, production line B works only 5 days a week. Production line A produces 5000 items each day where 84% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 68% of the produced items are high quality, 13% medium quality, and the rest are of low quality. All items produced after working for many weeks are accumulated in a warehouse. If an item is tested and found to be of medium quality, what is the probability that it was produced by production line A. [The answer should be number rournded to
Transcribed Image Text:A factory has two production lines A and B, production line A works 7 days a week, production line B works only 5 days a week. Production line A produces 5000 items each day where 84% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 68% of the produced items are high quality, 13% medium quality, and the rest are of low quality. All items produced after working for many weeks are accumulated in a warehouse. If an item is tested and found to be of medium quality, what is the probability that it was produced by production line A. [The answer should be number rournded to
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