When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test

55 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 33batteries do not meet specifications. A shipment contains 4000 batteries, and 22%of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

The probability that this whole shipment will be accepted is

(Round to four decimal places as needed.)

The company will accept __________ % of the shipments and will reject __________ % of the shipments, so ____________________.

a) many of the shipments will be rejected.

b) almost all of the shipments will be accepted.

(Round to two decimal places as needed.)