Question: please help by showing the full set of steps needed to solve each part A control chart for the number of nonconforming cell phone cases

please help by showing the full set of steps needed to solve each part

A control chart for the number of nonconforming cell phone cases is maintained on a plastic molding process with np = 16.0. A sample of size 100 is taken each day and analyzed. (a) What is the probability that a shift in the process average to np = 20.0 will be detected on the first day following the shift? (b) Calculate and plot the operating characteristic curve for this control chart if there were shifts of np from np = 1 to np = 25 in increments of one. Verify your answer for part (a) (c) What is the probability that the shift will be detected by at least the end of the third day? (d) Find the smallest sample size that will give a positive lower control limit

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