When purchasing bulk orders ofbatteries, a toy manufacturer uses this acceptance samplingplan: Randomly select and test 37 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 7000 batteries, and 2% of them do not meet specifications.

a. What is the probability that this whole shipment will beaccepted?

b.Will almost all such shipments beaccepted, or will many berejected?