a pharmaceutical company received large shipments of aspirin tablets. The accept

Question

a pharmaceutical company received large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 58 tablets, then accept the whole batch if ther is only one or none that doesn't meet the required specifications. If one shipment of 5000 aspirin tablets acutally has a 3% rate of defects 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 ______. (round to two decimal places as needed)

will many of the shipments will be rejected or almost all of the shipments will be accepted.

Explanation / Answer

P(Whole shipment is accepted)

= P(One or none defective)

= binomdist(1, 58, 0.03, True) [Excel Formula]

= 0.4775

Hence,

The company will accept 47.75% of the shipments and will reject 52.25% of the shipments.

Many shipments will be rejected.

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