When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 48 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? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select
and test 48 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?
The probability that this whole shipment will be accepted is
(Round to four decimal places as needed.)
Transcribed Image Text:When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 48 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? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)
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