Problem 6E

Emergency Locator Transmitters Use the same ELT data from Exercise. An ELT is randomly selected and tested. If the test indicates that the ELT is not defective, find the probability that it is from the Altigauge Company.

Exercise

Emergency Locator Transmitters 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. (These are the same results from Example)

a. Find the probability of randomly selecting an ELT and getting one manufactured by the Bryant Company.

b. If an ELT is randomly selected and tested, find the probability that it was manufactured by the Bryant Company if the test indicates that the ELT is defective.

Solution 6E

=0.654