A fraction nonconforming control chart is to be established with a center line of 0.01 and two-sigma

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A fraction nonconforming control chart is to be established with a center line of 0.01 and two-sigma control limits.
(a) How large should the sample size be if the lower control limit is to be nonzero?
(b) How large should the sample size be if we wish the probability of detecting a shift to 0.04 to be 0.50?
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