3. (20 points) An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of
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3. (20 points) An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of
Company A makes 50% of the ELTs, Company B makes 30% of them, and the Company C makes the remaining 20%. The ELTs made by Company A has a defect rate of 2%, the Company B has defect rate of 5%, and the Company C has a defect rate of 3%. (a) (4 points) If an ELT is randomly selected from the general population of all ELTs, find the probability that it was made by the Company A. (b) (8 points) What is the probability that the chosen item is defective? (c) (8 points) If a randomly selected ELT is then tested and is found to be defective, find the probability that it was made by the Company A.
3. (20 points) An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash.