The following information applies to Exercises 12 to 17. A firm has two machines producing Things. The older machine produces 23 % defectives, the newer machine produces 8 % defectives. The newer machine produces three times as many Things as the older machine. Exercise 12 Determine the probability that a randomly chosen Thing was produced by the older machine. Exercise 13 Determine the probability that a randomly chosen Thing both is defective and was produced on the older machine. Exercise 14 Given that a Thing was produced by the newer machine, find probability it is not defective. Exercise 15 Find the probability that a Thing produced by the firm is defective. Exercise 16