7.92 Filling Pop Cans A bottler of soft drinks pack- ages cans in six-packs. Suppose that the fill per can has an approximate normal distribution with a mean of 355 mL and a standard deviation of 5.91 mL.

a. What is the distribution of the total fill for a case of 24 cans?

b. What is the probability that the total fill for a case is less than 8457 mL?

c. If a six-pack of pop can be considered a random sample of size n = 6 from the population, what is the probability that the average fill per can for a six- pack of pop is less than 348.93 mL?