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10) A company producing electric relays has three manufacturing plants producing 50, 30, and 20 percent, respectively, of its product. Suppose that the probabilities that a relay manufactured by these plants is defective are 0.02, 0.05, and 0.01, respectively a) If a relay is selected at random from the output of the company, what is the probability that it is defective? (b) If a relay selected at random is found to be defective, what is the probability that it was manufactured by plant 2?

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