A company has three factories where a component it needs are manufactured. Factory Production % Probability of a Defective | 25 .01 11 35 .015 III 40 .02 Suppose that a component is randomly chosen from stock. a. Find the probability that it is defective. Give your answer to four decimal places. (5 marks) b. If a component is found to be defective, find the probability that it came from factory III. Give your answer to four decimal places. (5 marks)