Suppose we find that the number of blemishes in 50-foot thin strips averages about c = 1.4.

Question:

Suppose we find that the number of blemishes in 50-foot thin strips averages about c = 1.4. Calculate the control limits. Say the process has gone out of control and this average has increased to 3.
(a) What is the probability that the next observation will exceed the UCL?
(b) What is the probability that at least 1 of the next 10 observations will exceed the UCL?