Factories A, B and C produce computers. Factory A produces 4 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 0.01, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.039. A computer is selected at random and it is found to be defective. What is the probability it came from factory A? Answer:

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Factories A, B and C produce computers. Factory A produces 4 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
0.01, the probability that a computer produced by factory B is defective is 0.035, and
the probability that a computer produced by factory C is defective is 0.039.
A computer is selected at random and it is found to be defective. What is the
probability it came from factory A?
Answer:
Transcribed Image Text:Factories A, B and C produce computers. Factory A produces 4 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 0.01, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.039. A computer is selected at random and it is found to be defective. What is the probability it came from factory A? Answer:
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