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 sample i
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Question 1152176: 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. The ABCD Electronics Company has just manufactured 5000 write-rewrite CDs, and 100 are defective. If 4 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted? Answer by ikleyn(52790) (Show Source):
There are N = ways to select 4 CDs from the set of 5000 CDs without replacement.
It is the whole space of samples in this problem.
Next, from the condition, every 4 CDs that pass testing, belong to the subset of 5000-100 = 4900 good CDs.
There are n = ways to select 4 CDs from this set of 4900 CDs.
Therefore, the probability under the question is the ratio
= = = 0.922346. ANSWER
Another way to solve the problem is to use the formula
P =
which is self-explanatory and gives the same result P = 0.922346.
