A pharmaceutical company recelives large shipments of aspirin tablets. The accep

Question

A pharmaceutical company recelives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 42 tablets, then accept the whole batchi there is only one or none that doesn't meet the required cif atio s Moesh rne t of 6000 a prin tablets actaly has a 4%rate of dele ts, what is the probablity that this whole shipment wa be accepted The prot atlly hat this whole shipment wi be accepted is Round to four decimal places as needed ) The company accept %ofthe shipments andu rejedá%ofthe shements so Round to two decimal places as needed) NE ahost al such shipments be accepted orw many be re ected

Explanation / Answer

This will be a binomial experiment with parameters:

n = 42, p = 0.04

So,

P(At most 1)

= binom.dist(1, 42, 0.04) [Excel Formula]

= 0.4951

Hence,

The company will accept 49.51% of the shipments and will reject 50.49% of the shipments, so majority of shipments are being rejected.

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