Problem $3$: Bottle Filling A popular soft drink is sold in $2-$liter $(2000$ mL$)$ bottles. Because of variations in the filling process, bottles have a mean of $2000$ mL and a standard deviation of $20$ mL$,$ normally distributed. Problem $3$: Questions $3.$A$.$ If the process fills the bottle by more than $60$ mL$,$ the overflow will cause a machine malfunction. What is the probability of this occurring? $3.$B$.$ What is the probability of under filling the bottle by at least $30$ mL$?$