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Imagine that you are purchasing small lots of manufactured product. If it is very costly to...

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Basic Math

Imagine that you are purchasing small lots of manufacturedproduct. If it is very costly to test a single item, it may bedesirable to test a sample of items from the lot instead of testingevery item in the lot. Suppose each lot contains 10 items. Youdecide to sample 3 items per lot and reject the lot if you observe1 or more defectives.

a) If the lot contains 1 defective item, what is the probabilitythat you will accept the lot?

b) What is the probability that you will accept the lot if itcontains 2 defective items?

Answer & Explanation Solved by verified expert
3.9 Ratings (454 Votes)
Number of items in the lot 10Let X number of defective items in the sample of 3 itemsReject the lot if X Accept the lot if X 0 No defective items in the sample of 3items from the lot ie all 3 items to be non defectivea If the lot    See Answer
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