1) The volume of a soda dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of .20 ounce. The company receives complaints from consumers who actually measure the amount of soda in the cans and claim that the volume is less than advertised 12 ounces. What proportion of the soda cans contain less than the advertised 12 ounces?
2) Before a new phone system was installed, the amount a company spent on personal calls followed normal distribution with an average of $900 per month and a standard deviation of $50 per month. Refer to such expenses as PCE's. Using the distribution above, what is the probability that a randomly selected month PCE's were between $775 and $990?