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 $200$ 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$]]],[1,7,11,6,21,17],[2,5,12,4,22,11],[3,18,13,15,23,7],[4,10,14,5,24,7],[5,10,15,10,25,14],[6,7,16,7,26,11],[7,13,17,12,27,15],[8,8,18,4,28,6],[9,5,19,18,29,13],[10,13,20,16,30,2]]$

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$).$