$1)$ Seven data entry operators work at the data processing department of TD Bank. For $30$ days, the number of errors in a sample of $260$ records typed by these operators has been noted, as follows: $$ a$)$ Determine the upper and lower control limits based on a $99\mathrm{.}73\%$ confidence level. b$)$ The industry standards for the upper and lower control limits are $0\mathrm{.}10$ and $0\mathrm{.}01,$ respectively. What does this imply about TD Bank$$s own standards? c$)$ Determine the upper and lower control limits based on a $99\mathrm{.}73\%$ confidence level assuming the data represents total daily errors $($i$.$e$.,$ Day $1=8$ errors total, Day $2=12$ errors total, etc., rather than errors per $206-$record sample$).$ Is the process in control?