Consider that on average, 5 percent of all parts received by a manufacturer are defective. For quality control purposes the manufacturer has a policy of sampling 60 parts in every shipment. The company accepts the shipment only if none are defective. Armed with this information, answer the following questions:

(a) What percentage of shipments will the manufacturer accept?

(b) Supposing the manufacturer changes his policy such that a shipment is accepted only if 2 parts in the sample are defective, what percentage of shipments will he accept?

(c) Compute the probability that a sample size of 60 will contain at least 15 defective parts?