Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 4 ml.
a. What is the probability that a randomly selected bottle will have less than 325 ml of beer? (Round intermediate calculations to 4 decimal places, z value to 2 decimal places, and final answer to 4 decimal places.)
b. What is the probability that a randomly selected 6-pack of beer will have a mean amount less than 325 ml? (Round intermediate calculations to 4 decimal places, z value to 2 decimal places, and final answer to 4 decimal places.)
c. What is the probability that a randomly selected 12-pack of beer will have a mean amount less than 325 ml? (Round intermediate calculations to 4 decimal places, z value to 2 decimal places, and final answer to 4 decimal places.)