$3)($Process Capability when $\backslash$sigma is known$)$ A process that produces computer chips has a mean of $0\mathrm{.}04$ defective chip and a standard deviation of $0\mathrm{.}003$ chip. The allowable variation is from $0\mathrm{.}03$ to $0\mathrm{.}05$ defective

$($a$)$ Compute the capability index for the process.

$($b$)$ Is the process capable?