A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 oz and standard deviation of 0.4 oz. answer the following questions
a. Estimate the probability that the machine will overflow an 8 oz cup.
b. Estimate the probability that the machine will not overflow an 8 oz cup.
c. The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?