company has two factories that produce a certain product. The first factory produces 60% of the product, while the second produces 40%. The defective rate of the first factory is 2%, while the defective rate of the second factory is 4%. If a customer receives a defective product, what is the probability that it came from the first factory? Show your calculations and reasoning.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company has two factories that produce a certain product. The first factory produces 60% of the product, while the second produces 40%. The defective rate of the first factory is 2%, while the defective rate of the second factory is 4%. If a customer receives a defective product, what is the probability that it came from the first factory? Show your calculations and reasoning.
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