When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 4343 batteries and determine whether each is within specifications. The entire shipment is accepted if at most33batteries do not meet specifications. A shipment contains 60006000 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?

Question

When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 4343 batteries and determine whether each is within specifications. The entire shipment is accepted if at most33batteries do not meet specifications. A shipment contains 60006000 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.)

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