SOLUTION: With one method of a procedure called acceptance​ sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the s

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Question 1076846: With one method of a procedure called acceptance​ sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. A company has just manufactured 1282 ​CDs, and 466
are defective. If 3 of these CDs are randomly selected for​ testing, what is the probability that the entire batch will be​ accepted? Does this outcome suggest that the entire batch consists of good​ CDs? Why or why​ not?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
466/1282=0.3635 probability one is defective
0.6365, probability one is not defective
0.6365^3, probability three are not defective if independent or 0.2579.
With such a high probability of one's being defective, checking three is not too helpful. The above shows that there is a 1 in 4 chance of accepting the whole batch with 1/3 defective. The likelihood of the whole batch being good is 0.6365^1282, which is, on a calculator, 0.