A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 19, normally distributed. a. If the manufacturer samples 75 bottles, what is the probability that the mean fill of the sample is less than 1,996 milliliters? b. What mean fill will be exceeded only 3% of the time for the sample of 75 bottles?