Problem 1. An automated soda machine is programmed to dispense 8 ounces of soda each time the machine is used. Because of slight variations in the internal workings of the machine, the actual amount of soda dispensed each time has a normal distribution with a mean of m= 8.0 ounces and a standard deviation of s= 0.3 ounces.

You go up to the machine and press the button to obtain a soda.

1. What is the probability that the actual amount of soda you receive exceeds 8.20 ounces?
2. What is the probability that the actual amount of soda you receive is less than 7.7 ounces?
3. What is the probability that the actual amount of soda you receive is between 7.90 and 8.25 ounces?