Suppose that a process at Manuel Automation with a normallydistributed output has a mean of 50.0 cm and a variance of 3.61 cm.a. If the specifications are 51.0 ± 3.75 cm, compute Cp, Cpu, Cpl,and C pk. b. Suppose the mean shifts to 52.0, but the varianceremains unchanged. Recompute and interpret these process capabilityindexes. c. If the variance can be reduced to 40 percent of itsoriginal value, how do the process capability indices change (usingthe original mean of 50.0)?