c$)$ The specification limits have not changed. Suppose that the mean of the process is still $5\mathrm{.}95$ inches with a standard deviation $()$ of $0\mathrm{.}06.$ What is the range $($upper and lower limits$)$ on the mean of the process to maintain a $C_{pk}$ of $1\mathrm{.}33$ or greater?

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d$)$ Suppose that the mean of the process is still operating at a mean of $5\mathrm{.}95$ inches but the standard deviation is worsened and is now $0\mathrm{.}1$ inches and the process follows a normal probability distribution. The lower spec $($specification$)$ limit is still $5\mathrm{.}70$ and the upper spec limit is still $6\mathrm{.}30.$ What percent of the values are below the lower spec limit$?$