Problems: 1. A 12 ounce bottle of beer should contain 355 mL. The fictional Random Brewing Company programs its machinery so that the amount of beer in a bottle is normally distributed with a mean of 355.5 mL and a standard deviation of 0.6 mL. It is reasonable to assume that amounts of beer filled into bottles are independent. 1. What is the probability that a randomly selected bottle contains at least 355 mL? 2. What is the probability that the bottles of a randomly selected 6-pack of beer contain an average of at least 355 mL? 3. What is the probability that the total amount of beer in the 6-pack is less than 2131.5 mL? Hint: Write the total amount in terms of