Question 1013:A 12 ounce bottle of beer has 355 ml. The Random Brewing Company sets its machinery so that the contents of a bottle is normally distributed with a mean of 355.5 ml and a standard deviation of 1 ml. (The contents of a bottle are also independent from each other.) Joe Sixpack buys four 6-packs of beer. What is the probability that the bottles of at least one of the 6-packs have an average contents of less than 355 ml?
(Hint: Your answer to part A can be used in part B.)