The Wayne Manufacturing Company purchases a certain part from Suppliers A, B

and C 2%. supplier A supplies 60% of the parts, B, 30% and C, 10%. The quality of

parts varies among the suppliers, with A, B and C parts having 0.25%, 1%, and 2%

defective rates, respectively. The parts are used in one of the company's major

products.

a. What is the probability that the company's major product is assembled with a

defective part? Use Bayes' Theorem to solve.

b. When a defective part is found, which supplier is the likely source?