3.1A soft drink vending machine is set to discharge an average of 215 mlof cooldrink per cup. The amount discharged is normaly distributed with standarddeviation 10 ml. (a) If 225 ml cups are used, what proportion of cups overflow?[3] (b) What is the probability that a cup contains at east 200 mlof cooldrink?[3] (c) What size cups ought to be used if it is desirable that only 2% of cups overflow?[3]
