A popular soft drink is sold in 2 liter (2000 ml) bottles. Because of variation in the filling process, bottles have a mean of 2000 ml and a standard...

A popular soft drink is sold in 2 liter (2000 ml) bottles. Because of variation in the filling process, bottles have a mean of 2000 ml and a standard deviation of 20, normally distributed.a. If the process fills the bottle by more than 60ml, the overflow will cause a machine malfunction. What is the probability of this occurring?b. What is the probability of underfilling the bottles by at least 30ml?