Jack, a production manager, is trying to improve the efficiency of his assembly line. He knows that the machine is set up correctly only 60% of the time. He also knows that if the machine is set up correctly, it will produce good parts 80% of the time, but if set up incorrectly, it will produce good parts only 20% of the time. (a) (4 pts) What is the probability of producing good parts? (b) (4 pts) Jack starts the machine and produces one part before he begins the production run. He finds the first part to be good. What is the revised probability that the machine was set up, correctly? P = 01 25 (6 pts) An exam has 10 multiple-choice questions. Four alternatives are given in each of the questions in which only one is correct. Jasmine didn't have time in preparing for this exam and decided to fill the answer out pure randomly. What is the probability that she could get at least six questions correct in this exam? mean A bank manager estimates that an average of 15 customers enter the tellers' queue every hour. Assume that the number of customers that enters the teller's queue is Poisson distributed. (a) (3 pts) What is the average time between two consecutive customers entering the tellers' queue? (b) (4 pts) What is the probability that the arrival time between two consecutive customers is less than 3 minutes? time between events. EXPON(P(X