A soft-drink machine is regulated so that it discharges average of 200 milliliters per cup. If the amount of drinks is normally distributed with standard deviation equal to 15 milliliters,
(a) What fraction of cups will contain more than 224 milliliters?
(b) Determine the probability that cup contains between 191 and 200 milliliters?
(c) how many cups will probably overflow if 230- milliliters cups are used for the next 1000 drinks?
(d) Below what value do we get the smallest 25% of the drinks?
(e) what should be the capacity of cups such that 99% of the cups will not overflow?