Part (a): If we want the probability of getting at least one non-conforming item out of the sample collected to be at least 99%, what should the minimum sample size be? Now, suppose that the fraction non-conforming for the product is 0.015.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Problem 3
The fraction non-conforming for a product is being monitored by a P
Chart.
• Part (a):
If we want the probability of getting at least one non-conforming item out of the sample
collected to be at least 99%, what should the minimum sample size be?
Now, suppose that the fraction non-conforming for the product is 0.015.
• Part (b)
the sample size be to meet the Duncan's requirement if 1.5 % is the (smallest) increase in
the fraction non-conforming (on top of the 0.015) that you want to detect with 50%
probability in one sample (of items produced with a 3% fraction of non- conforming)?
Suppose again that the fraction non-conforming is 0.015. What should
Transcribed Image Text:Problem 3 The fraction non-conforming for a product is being monitored by a P Chart. • Part (a): If we want the probability of getting at least one non-conforming item out of the sample collected to be at least 99%, what should the minimum sample size be? Now, suppose that the fraction non-conforming for the product is 0.015. • Part (b) the sample size be to meet the Duncan's requirement if 1.5 % is the (smallest) increase in the fraction non-conforming (on top of the 0.015) that you want to detect with 50% probability in one sample (of items produced with a 3% fraction of non- conforming)? Suppose again that the fraction non-conforming is 0.015. What should
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