An aircraft emergency locator transmitter (ELT) is a advice designed to transmit a signal in the case of a crash. TheAltigauge Manufacturing Company makes 80% of the ELTs ,the Bryant company makes 15% of them and 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 ELT have a 9% rate 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 found to be defected, find the probability that it was made by the Altigauge Manufacturing company..?

(C). What is the probability of the ELT was made by Bryant company given that the selected ELT was tested and to be non-defective.?.