Five data entry operators work at the data processing department of the Birmingham Bank. Each day for $30$ days, the number of defective records in a sample of $250$ records typed by these operators has been noted, as follows:

$\backslash$table$[[\backslash$table$[[$Sample$],[$No$.]],\backslash$table$[[$No$.],[$Defectives$]],\backslash$table$[[$Sample$],[$No$.]],\backslash$table$[[$No$.],[$Defectives$]],\backslash$table$[[$Sample$],[$No$.]],\backslash$table$[[$No$.],[$Defectives$]]],[1,8,11,5,21,17],[2,6,12,4,22,12],[3,19,13,16,23,5],[4,11,14,5,24,7],[5,11,15,12,25,14],[6,7,16,7,26,11],[7,13,17,12,27,15],[8,8,18,4,28,7],[9,7,19,17,29,11],[10,12,20,16,30,2]]$

a$)$ Establish $3$ upper and lower control limits$.$

$UC{L}_p=(enter$ your response $as$ a number between $0$ and $1,$ rounded $to$ three decimal places$).$