Question: 1. (Quality Control) Suppose that when a fabric production process is in control, the number offlaws in a piece of fabric of lengthlyards has a

1. (Quality Control) Suppose that when a fabric production process is in control, the number offlaws in a piece of fabric of lengthlyards has a Poisson distribution with mean (.02)l. Supposethat periodically a length of fabric of 10 yards is inspected and the flaws are counted. If there aretoo many flaws, say more than k, the process will be presumed to be out of control, and stopped,and fixed. What should k be such that the probability of stopping the process when it is really incontrol is at most 5%? (Again, a little bit of trial and error, the value of k is small.)

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