The lower and upper spesification limits fort he amount active ingredient in a drug tablet are $20\mathrm{.}0$ and $22\mathrm{.}4$ mg$,$ normally distributed.

a$)$ What is the value of the process standart deviation if the tablet production process has a process capability index of $1\mathrm{.}3?$

b$)$ What percentage of tablets will be non$-$ conforming when the process mean of the target level of $21\mathrm{.}2$ mg and process capability index is $1\mathrm{.}3?$

Solve the questions by hand and show the calculations.