$(7-5)$

A process is in control with $\frac{?}{\text{b}\text{a}\text{r}}(\stackrel{}{x})=100,$

$\frac{?}{\text{b}\text{a}\text{r}}(s)=1\mathrm{.}05,$ and $n=5.$ The process specifi$-$

cations are at $95+-10.$ The quality char$-$

acteristic has a normal distribution.

$($a$)$ Estimate the potential capability.

$($b$)$ Estimate the actual capability.

$($c$)$ How much could the fallout in the

process be reduced if the process

were corrected to operate at the

nominal specification?