With one method of a procedure called acceptance​ sampling, a sample of items is randomly selected with replacement and the entire batch is accepted if every item in the sample is okay. A company has just manufactured 913 CDs, and 367 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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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With one method of a procedure called acceptance​ sampling, a sample of items is randomly selected with replacement and the entire batch is accepted if every item in the sample is okay. A company has just manufactured 913 CDs, and 367 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?

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