Question

A pharmaceutical company receives a large shipment of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 29 tablets, then except the whole batch if there is at most one that doesn’t meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 12% rate of defects, what is the probability that this whole shipment will be accepted?

Answer 1

Hello Sir/ Mam

Your required answer is 12.16%

Let X denotes the number of defective tablets.

Hence, X follows binomial distribution where p = 0.12, and n = 29

Now,

Hence,

Now, using the above formula and putting the corresponding values, we get:

I hope this solves your doubt.

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