Suppose a company has two factories that produce a particular product. The first factory produces 60% of the product, while the second factory produces 40%. The defective rate at the first factory is 5%, while at the second factory it is 10%. If a randomly selected product is defective, what is the probability that it was produced at the second factory? And what is the probability that a randomly selected non-defective product was produced at the first factory?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Suppose a company has two factories that produce a particular product. The first factory produces 60% of the product, while the second factory produces 40%. The defective rate at the first factory is 5%, while at the second factory it is 10%. If a randomly selected product is defective, what is the probability that it was produced at the second factory? And what is the probability that a randomly selected non-defective product was produced at the first factory?
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