Problem
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 46 tablets, and then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 7000 aspirin tablets actually has a 2% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?