Breeze Toothpaste Company has been having a problem with some of the tubes of toothpaste leaking. The tubes are packed in containers with $100$ tubes each. Ten containers of toothpaste have been sampled. The following number of toothpaste tubes were found to have leaks:

$\backslash$table$[[$Sample$,$Number of Leaky Tubes,Sample,Number of Leaky Tubes$],[1,6,6,16],[2,10,7,6],[3,11,8,8],[4,13,9,4],[5,8,10,9]]$

$($a$)$

Develop a p$-$chart with $3-$sigma control limits: $($If the lower control limit is negative, round the LCL to zero and round all other answer to $3$ decimal places, e$.$g$.15\mathrm{.}250.)$

CL

UCL

LCL