Q$1.(30$ pts$/$puan$)$EN: In the manufacture of a copper rod to fit into an assembly, we assume that the outer diameter $($OD$)$ is approximately normally distributed with the mean equal to $2\mathrm{.}30$in$.$ and standard deviation equal to $0\mathrm{.}06$in$.$The specification limits are $2\mathrm{.}31+0\mathrm{.}10$in$.$ A piece with OD below the lower specification is considered scrap, while an OD above the upper specification can be reworked.a$)$ what percentage of scrap is being produced?b$)$ what percentage is reworkable?c$)$ the maximum percentage we could produce with as little scrap and rework as possible by moving the mean OD to $2\mathrm{.}31$in$.$