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

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

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