A bottler of soft drinks packages cans in six-packs. Suppose that the fill per can has an approximate normal distribution with a mean of 11 fluid ounces and a standard deviation of 0.4 fluid ounces. (a) What is the distribution of the total fill for a case of 24 cans? (Round your standard deviation to four decimal places.) mean standard deviation (b) What is the probability that the total fill for a case is less than 260 fluid ounces? (Round your answer to four decimal places.) (c) If a six-pack of soda 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 soda is less than 10.6 fluid ounces? (Round your answer to four decimal places.)