The specification is $1\mathrm{.}50+/-\mathrm{.}5$ microns $($bilateral tolerance$)$ and the standard deviation s $=\mathrm{.}1398$ microns.

Solve the following:

a$)$ Determine the capability of the process through the calculation of the Cp and Cpk values. Is it a capable process? Comment on the centering of the process.

b$)$ Determine the percent yield for the process, percent rejects and the expected PPMs$.$

c$)$ Determine the Upper and Lower control limits for the X bar and Range charts.