The acceptable specification limits on the number of mini Cadbury eggs in a bag are between 80 and 120 (i.e., LSL = 80, USL = 120). The process is normally distributed. Any bag with less than 80 or more than 120 is considered defective. It is well established that the process for packaging the eggs has a standard deviation of 6 eggs.

a) Suppose that the process mean is centered at 100. Calculate the Cp and Cpk values.
b) Suppose that the process mean is centered at 100. What fraction of bags are defective?
c) Suppose that the process mean is centered at 106. Calculate the Cp and Cpk values.
d) Suppose that the process mean is centered at 106. What fraction of bags are defective?