a popular soft drink is sold in 2-liter (2,000-millileter) bottles. because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 16, normally distributed. part a: if the manufacturer samples 100 bottles, what is the probability that the mean fill of the sample is less than 1,995 milliliters? part b: what mean fill will be exceeded only by 10% of the time for the sample of 100 bottles?