A machine is set to fill 20-ounce plastic bottles with an average of 21 ounces of Mountain Dew. Suppose
the amounts dispensed are normally distributed with a standard deviation of .5 ounce.
(a) Determine what percentage of plastic bottles will contain more than 20 ounces.
(b) Determine what percentage of plastic bottles will contain less than 19.5 ounces.
(c) Now suppose the standard deviation is 1.5 ounces. Determine the average number of ounces the machine should dispense so that no more than 2.5% of the bottles contain less than 19.5 ounces.