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

$$

Day

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

Defectives

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

Part $2$

$=$

$$

$0\mathrm{.}157($enter your response as a number between $0$ and$1,$ rounded to three decimal$$ places$).$

Part $3$

$=$

$$

$0($enter your response as a number between $0$ and$1,$ rounded to three decimal$$ places$).$

Part $4$

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