a$)$ A turning process is in statistical control and the output is normally distributed, producing parts with a mean diameter $=32\mathrm{.}021$ mm and a standard deviation $=0\mathrm{.}033$ mm$.$ Determine

the process capability

b$)$ Calculate Sigma levels and defects per million for $35,000$ products produced of which $1500$ defects of CTQ features of $40.$ Products with one or more defects were found about $800.$