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MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A firm receives components from a supplier in large batches, for use in its production process. Production is uneconomic if a batch containing 10% or more defective components is used. The firm checks the quality of each incoming batch by taking a sample of 15 and rejecting the whole batch if more than one defective component is found. a. If a batch containing 10% defectives is delivered, what is the probability of its being accepted? b. How could the firm reduce this probability of erroneously accepting bad batches? c. If the supplier produces a batch with 3% defective, what is the probability of the firm sending back the batch? d. What role does the assumption of a large batch play in the calculation?
Transcribed Image Text:A firm receives components from a supplier in large batches, for use in its production process. Production is uneconomic if a batch containing 10% or more defective components is used. The firm checks the quality of each incoming batch by taking a sample of 15 and rejecting the whole batch if more than one defective component is found. a. If a batch containing 10% defectives is delivered, what is the probability of its being accepted? b. How could the firm reduce this probability of erroneously accepting bad batches? c. If the supplier produces a batch with 3% defective, what is the probability of the firm sending back the batch? d. What role does the assumption of a large batch play in the calculation?
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