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Answer :
Final answer:
The probability that a car from the manufacturer's plant A has a defective emissions control device is 0.0231.
Explanation:
To find the probability that a car from the manufacturer's plant A has a defective emissions control device, we need to multiply the probability that a car was manufactured at plant A by the probability that it has a defective emissions control device.
The manufacturer produces 77% of its cars at plant A, so the probability that a car was manufactured at plant A is 0.77.
3% of the cars manufactured at plant A have defective emissions control devices, so the probability that a car manufactured at plant A has a defective emissions control device is 0.03.
To find the probability that a car was manufactured at plant A and has a defective emissions control device, we multiply these two probabilities:
0.77 * 0.03 = 0.0231
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