When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan.  Randomly select and test 35 batteries and determine whether each is in specifications. The entire shipment is accepted if at most 3 batteries do not meet specifically. A shipment contains 4000 batteries, and 1% 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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan.  Randomly select and test 35 batteries and determine whether each is in specifications. The entire shipment is accepted if at most 3 batteries do not meet specifically. A shipment contains 4000 batteries, and 1% 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?

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