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Twice as many automobile transmissions are made in Plant A than in Plants B and C. Equal numbers are made in Plants B and C. But all are stored in the same warehouse. Past experience has recorded 1.0 percent of transmissions from Plant A, 1.8 transmissions from Plant B, and 1.2 transmissions from Plant C are defective. Keep 4 significant digits. a) What is the probability a transmission selected at random from the warehouse is defective? b) A transmission is selected at random and found to be defective. What is the probability that it came from Plant B?

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