Question

In: Statistics and Probability

A process has an in-control fraction nonconforming of p = 0.02. a) What sample size would...

A process has an in-control fraction nonconforming of p = 0.02.

a) What sample size would be required for the fraction nonconforming control chart if it is desired to have a probability of a least one nonconforming unit in the sample to be at least 0.9?

b) Now assume n = 200. Establish a control chart for the fraction nonconforming.

Solutions

Expert Solution

A process has a in-control fraction nonconfirming of p=0.02

We have to determine sample size i.e n for a least one nonconfirming unit in the sample to be at least 0.9

Such that,

Pr(D>=1)>=0.9 or

Pr(D=0)=0.1


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