Plastic strips that are used in a sensitive electronic device are manufactured to a maximum specification of $305\mathrm{.}70mm$ and a minimum specification of $304\mathrm{.}55mm.$ If the strips are less than the minimum specification, they are scrapped; if they are greater than the maximum specification, they are reworked. The part dimensions are normally distributed with a population mean of $305\mathrm{.}20mm$ and a standard deviation of $0\mathrm{.}25mm.$ What percentage of the product is scrap? What percentage is rework? How can the process be centered to eliminate all but $0\mathrm{.}1\%$ of the scrap? What is the rework percentage now? $(2$ points$)$

Determine the central line and $4$ limits for a short production run that will be completed in $1h.$ The specifications are $3\mathrm{.}40+-0\mathrm{.}05mm.$ Use $n=3$ and assume $C_p=1.(1$ point$)$