A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drinks is normally distributed with a standard deviation equal to 15 milliliters,
(a) What is the probability that a cup contains between 191 and 200 milliliters?
(b) how many cups will probably overflow if 230- milliliters cups are used for the next 1000 drinks?
(c) what should be the capacity of the cups such that 99% of the cups will not overflow?