The upper and lower specification limits for a component are $3\mathrm{.}98$ and $4\mathrm{.}02$ inches, respectively. The process standard deviation is $\mathrm{.}004,$ and the process average is $4\mathrm{.}005$ inches. Is this process capable of achieving four$-$sigma performance?

no$,$ the process is not centered properly

no$,$ the process variability is too much

yes