we have an ongoing production process that has historically operated with 1% non conforming output. Every hour, a sample of 15 units is collected and inspected for non-conforming units . If one or more non-conforming units are found, the process is stopped and inspected for problems. a) What percentage of the time will the process need to be stopped? b) if the process suddenly deteriorates to 4% non-conforming output, What is the probability that it will be stopped on the very next sample? c) What percentage of non-conforming units would make a line stoppage 90% probable?

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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we have an ongoing production process that has historically operated with 1% non conforming output. Every hour, a sample of 15 units is collected and inspected for non-conforming units . If one or more non-conforming units are found, the process is stopped and inspected for problems.

a) What percentage of the time will the process need to be stopped?

b) if the process suddenly deteriorates to 4% non-conforming output, What is the probability that it will be stopped on the very next sample?

c) What percentage of non-conforming units would make a line stoppage 90% probable?

 

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