Q2. A company producing electric relays has three manufacturing plants producing , 55, 20, and 25 percent, respectively, of its product. Suppose that the probabilities that a relay manufactured by these plants is defective are 0.025, 0.02, and 0.045, 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 3?

EBK ELECTRICAL WIRING RESIDENTIAL
19th Edition
ISBN:9781337516549
Author:Simmons
Publisher:Simmons
Chapter29: Service-entrance Calculations
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Q2. A company producing electric relays has three manufacturing plants producing, 55, 20, and 25
percent, respectively, of its product. Suppose that the probabilities that a relay manufactured by
these plants is defective are 0.025, 0.02, and 0.045, 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 3?
Transcribed Image Text:Q2. A company producing electric relays has three manufacturing plants producing, 55, 20, and 25 percent, respectively, of its product. Suppose that the probabilities that a relay manufactured by these plants is defective are 0.025, 0.02, and 0.045, 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 3?
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