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

$$

Day

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

Defectives

$5$

$7$

$7$

$9$

$5$

$6$

$0$

$7$

$10$

$1$

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

Part $2$

UCLp $=$

$$

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