When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan. Randomly select and test 57 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 3% 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? Round to four decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan. Randomly select and test 57 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 3% 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? Round to four decimal places. 

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