The results of inspection of DNA samples taken over the past $10$ days are given below. Sample size is $100.$

$\backslash$table$[[$Day$,1,2,3,4,5,6,7,8,9,10],[$Defectives$,4,7,6,8,4,5,1,4,7,1]]$

a$)$ The upper and lower $3-$sigma control chart limits are:

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

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

b$)$ Given the limits in part a$,$ is the process in control for the following days as shown in the table below?

$\backslash$table$[[$Day$,$Number of Defects,In$-$Control$],[11,8,\frac{?}{\text{b}\text{a}\text{r}}(grad)$