A pharmaceutical company receives large shipments of aspirin tablets. The accept

Question

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 25 tablets. The entire shipment is accepted if at most 2 tablets do not meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 3.0 % rate of defects, what is the probability that this whole shipment will be accepted? The probability that this whole shipment will be accepted is nothing . (Round to three decimal places as needed.)

Explanation / Answer

This will be a binomial distribution with parameters:

n = 25, p = P(Defect) = 0.03

Hence,

P(Whole shipment is accepted)

= P(At most 2 out of 25 defects)

= P(X < 2)

= Binom.dist(2, 25, 0.03, TRUE) [Excel Formula]

= 0.962

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