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 83% 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
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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 83% 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 %]
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 83% 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 %]
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