A process is in control with x double bar $=100,$ s bar $=1\mathrm{.}05,$ and n $=5.$ The process specifications are at $95+-10.$ The quality characteristic has a normal distribution.

Estimate the potential capability.

b$)$Estimatetheactualcapability$.$

c$)$How much could the fallout in the process be reduced if the process were corrected to

operate at the nominal specification? $($Hint: First, calculate the actual proportion nonconforming and then calculate the proportion nonconforming when the process is corrected to operate at the midpoint of the specification limits$.)$