$(10$ points$)$ Consider a semiconductor manufacturing process that produces microchips with a

thickness specification of $0\mathrm{.}5+-0\mathrm{.}06mm.$ The process mean and process standard deviation

are $0\mathrm{.}49mm$ and $0\mathrm{.}025mm,$ respectively. However, due to the critical nature of these

microchips, any deviation beyond the specification limits is considered unacceptable.

Calculate the process capability indices $C_p,C_{pu},C_{pl},C_{pk},$ and $C_{pm}$ for this process, and assess

whether the process meets the stringent requirement of producing microchips.