In a batch of​ 8,000 clock radios 3​% are defective. A sample of 14 clock radios is randomly selected without replacement from the​ 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. Find the probability that the entire batch will be rejected. Round to the nearest thousandth.

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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In a batch of​ 8,000 clock radios 3​% are defective. A sample of 14 clock radios is randomly selected without replacement from the​ 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. Find the probability that the entire batch will be rejected. Round to the nearest thousandth.

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