When purchasing bulk orders ofbatteries, a toy manufacturer uses this acceptance samplingplan: Randomly select and test 46 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 5000 batteries, and 2% of them do not meet specifications. What is the probability that this whole shipment will beaccepted? Will almost all such shipments beaccepted, or will many berejected?

The probability that this whole shipment will be accepted is