If the fraction of defective parts on a production line is known to be 3%:
(a) What is the probability that a sample of 40 parts will contain exactly 2 defectives?
(b) What is the probability that a sample of 40 parts will contain at least 2 defectives?
(c) What is the probability that the first defective part will be found on the 3rd draw?
(d) What is the probability the 4th part selected will be defective, given that the 3rd part selected was defective?
(e) What is the probability the 2nd defective part will be found on the 6th part sampled?