A coca-cola machine can be regulated so that it discharges an average of milliliters per cup. If the milliliters of fill are normally distributed with standard deviation 2 milliliters, give the setting for so that 120-milliliter cups will overflow only 0.1% of time. Now suppose the standard deviation, , of the machine can be fixed at certain level by carefully adjusting the machine. What is the largest value of that will allow the actual amount dispensed to fall within 5 milliliters of the mean with probability 0.999?