At an electronics plant, it is known from past experience that the probability is 0.86 that a new worker who has attended the company's training program will meet the production quota and that the corresponding probability is 0.35 for a new worker who has not attended the company's training program. Assume that 80% of all new workers attend the training program.
(a) What is the probability that a new worker will meet the production quota?
(b) What is the probability that a worker who meets the production quota attended the company's training program?