Question: Most control charts use three sigmas (standard deviations) to set the upper and lower control limits. For a run chart, what is the probability that

Most control charts use three sigmas (standard deviations) to set the upper and lower control limits. For a run chart, what is the probability that an observation would fall beyond 3σ from the mean based on random chance variation alone? What assumptions do you have to make to answer this?

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