4-80. In a large shipment of electronic parts, 0.015 are bad. The parts are tested using a machine that correctly identifies bad parts as defective with a probability of 0.98, and correctly identifies good parts as nondefective with a probability of 0.95. a. If a part is randomly sampled from the shipment and tested, what is the probability that the testing machine identifies the part as defective? b. Given that the test indicates a nondefective part, what is the probability the part is truly good?4-68. Simmons Furniture Company is considering changing its starting hour from 8:00 A.M. to 7:30 A.M. A census of the company's 1,200 office and production workers shows that 370 of its 750 production workers favor the change and a total of 715 workers favor the change. To further assess worker opinion, the region manager decides to talk with random workers. a. What is the probability a randomly selected worker will be in favor of the change? T b. What is the probability a randomly selected worker will be against the change and be an office worker? c. Are the events job type and opinion independent? Explain. at 709%4-50. Suppose an auditor has 18 tax returns, 12 of which are for physicians. If three of the 18 tax returns are randomly selected, then what is the probability that at least one of the three selected will be a physician's tax return