Question

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 1239 ​CDs, and 547 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? If 3 of these CDs are randomly selected for​ testing, what is the probability that the entire batch will be​ accepted? The probability that the whole batch is accepted is nothing . ​(Round to three decimal places as​ needed.) Does the result in​ (a) suggest that the entire batch consists of good​ CDs? Why or why​ not? A. ​No, because the sample will always consist of good CDs. B. ​Yes, because it is not unlikely that the batch will be accepted. C. ​No, because only a probability of 1 would indicate the entire batch consists of good CDs. D. ​Yes, because if all three CDs in the sample are good then the entire batch must be good. Click to select your answer(s).

Answer 1