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 82% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 67% 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 B. (The answer should be a number rounded to five decimal places, don't use symbols such as %)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 82% of the produced items are high quality and the rest are of
medium quality. Production line B produces 3500 items each day where 67% 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 if
was produced by production line B.
The answer should be a number
rounded to five decimal places, don't use symbols such as %
Finish attempt .
ump 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 82% of the produced items are high quality and the rest are of medium quality. Production line B produces 3500 items each day where 67% 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 if was produced by production line B. The answer should be a number rounded to five decimal places, don't use symbols such as % Finish attempt . ump to
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