A popular soft drink is sold in 2‐liter (2,000 mL) bottles. Because of variation in the filling process, bottles have a mean of 2,000 mL and a standard deviation of 20, normally distributed.
a. If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1,950 mL?
b. What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?