A popular soft drink is sold in 2 liter (2,000milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 18, normally distributed.
a. If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1,995 milliliters?
b. What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?