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What is the probability that it was manufactured by plant 2

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A company producing electric relays has three manufacturing plants #1, #2, and #3, producing 50, 30, and 20 percent, respectively, of its product. Suppose that the probabilities that a relay manufactured by these plants is defective are 0.01, 0.04, and 0.10, respectively.

(a) If a relay is selected at random from the output of the company, what is the probability that it is defective?

(b) lf a relay selected at random is found to be defective, what is the probability that it was manufactured by plant 2?

Reference no: EM133245426

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