Plastic trips that are used in a sensitive electronic device are manufactured to a maximum specification of $305\mathrm{.}70$ mm $($approximately $12$ in$.)$ and a minimum specification of $304\mathrm{.}55$ mm$.$ 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 $305\mathrm{.}20$ mm and standard deviation of $0\mathrm{.}25$ mm$.$ 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?

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