Question: Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a Normal distribution with mean μ = 298 ml and standard deviation σ = 3 ml.
(a) What is the probability that a randomly selected bottle contains less than 295 ml? Show your work.
(b) What is the probability that the mean contents of six randomly selected bottles are less than 295 ml? Show your work.