An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTs, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTs made by Altigauge have a 4% rate of defects, the Bryant ELTs have a 6% rate of defects, and the Chartair ELTs have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). a. If an ELT is randomly selected from the general population of all ELTs, find the probability that it was made by the Altigauge Manufacturing Company. b. If a randomly selected ELT is then tested and is found to be defective, find the probability that it was made by the Altigauge Manufacturing Company

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Hello. Please answer the attached Probability question and its two parts correctly by using Bayes' Theorem.

*If you answer the question correctly and show all of your steps, I will give you a thumbs up. Thanks.

An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal
in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS,
the Bryant Company makes 15% of them, and the Chartair Company makes the other
5%. The ELTs made by Altigauge have a 4% rate of defects, the Bryant ELTs have a 6%
rate of defects, and the Chartair ELTs have a 9% rate of defects (which helps to explain
why Chartair has the lowest market share).
a. If an ELT is randomly selected from the general population of all ELTs, find the
probability that it was made by the Altigauge Manufacturing Company.
b. If a randomly selected ELT is then tested and is found to be defective, find the
probability that it was made by the Altigauge Manufacturing Company
* Please solve each part using Bayes' Theorem and explain each part completely. Thanks.
Transcribed Image Text:An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTs made by Altigauge have a 4% rate of defects, the Bryant ELTs have a 6% rate of defects, and the Chartair ELTs have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). a. If an ELT is randomly selected from the general population of all ELTs, find the probability that it was made by the Altigauge Manufacturing Company. b. If a randomly selected ELT is then tested and is found to be defective, find the probability that it was made by the Altigauge Manufacturing Company * Please solve each part using Bayes' Theorem and explain each part completely. Thanks.
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