Solution:
Then control limits for np chart if a standard value of P is available can be calculated as:
UCL=np+3np(1−p)LCL=np−3np(1−p)UCL=np+3\sqrt{np(1-p)} \\LCL=np-3\sqrt{np(1-p)}UCL=np+3np(1−p)LCL=np−3np(1−p)
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