Math homework help needed

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A pharmaceutical company receives a large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 14 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted?

Oct 17th, 2015

Thank you for the opportunity to help you with your question!

So we're looking at a 5% rate of defect, which means:

P(no defects) = 0.95^14 = 0.4876.

P(1 tablet out of 14 is bad) = 14* .05 * .95^13 = 0.3593

Those are the conditions for acceptance! So we add them together: .4876 + .3593 = .8469, or ~84.7 percent change of acceptance.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 17th, 2015

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