The manufacturer of the Classy Cola advertises that cans of the soft drink contain 355 mL of product. In reality, the amount of product in the cans follows a normal distribution with a mean of 355.4 mL and a standard deviation of 1.5 mL.
(a) What is the probability that a randomly selected can contains less than 355 mL?
(b) What is the probability that 50 randomly selected cans have a mean weight less than 355 mL?
(c) Suppose that that the amount of product in the cans is not normally distributed. Would your response in part (a) still be valid? Would your response in part (b) still be valid? Explain.