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 $350$ 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$]]],[1,6,11,7,21,17],[2,5,12,6,22,12],[3,20,13,16,23,5],[4,9,14,3,24,7],[5,12,15,10,25,13],[6,7,16,8,26,9],[7,13,17,12,27,15],[8,8,18,5,28,7],[9,6,19,18,29,12],[10,12,20,15,30,2]]$

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$).$

Give me all the parts in a detailed way please