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

Question 1209786: 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 ABC Electronics Company has just manufactured 1350 write-rewrite CDs, and 160 are defective. If 3 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?
Answer by ikleyn(52866) (Show Source): You can put this solution on YOUR website!
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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 ABC Electronics Company has just manufactured 1350 write-rewrite CDs, and 160 are defective.
If 3 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?
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This probability is the ratio of the number of all totally good TRIPLES of CDs  

to the number of all triples CDs of 1350 collection.  So


    P =  =  = 0.6847  (approximately).


Another method to calculate this probability is


    P =  = 0.6847,


giving the same answer.


The structure of the last formula is very clear, making it SELF-EXPLANATORY.

Solved.

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