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 \(\mu=298\) ml and standard deviation \(\sigma=3\) 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.

Step 1 of 3

There should be X amount of cola filled in each of the plastic bottles. It follows a normal distribution.

The mean of the distribution is

The standard deviation is