A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters,
a) What fraction of the cups will contain more than 224 milliliters?
b) What is the probability that a cup contains between 191 and 209 milliliters?
c) How many cups will probably overflow if 230-milliliter cups are used for the next 1000 drinks?
d) Below what value do we get the smallest 25% of the drinks?