Factories A, B and C produce computers. Factory A produces 2 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.016, the probability that a computer produced by factory B is defective is 0.03, and the probability that a computer produced by factory C is defective is 0.036. A computer is selected at random and it is found to be defective. What is the probability it came from factory B?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Factories A, B and C produce computers. Factory A produces 2 times as many computers as factory C, and factory B produces 7 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.016, the probability that a computer produced by factory B is defective is 0.03, and the probability that a computer produced by factory C is defective is 0.036.
A computer is selected at random and it is found to be defective. What is the probability it came from factory B?

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