The foreman of a bottling plant has observed that the amount of soda in each 32-ounce bottle is actually a normally distributed random variable, with a mean of 32.2 ounces and a standard deviation of 0.3 ounce.
If a customer buys one bottle, what is the probability that the bottle will contain more than 32 ounces?
If a customer buys a cartoon of four bottles. What is the probability that the mean amount of the four bottles will be greater than 32 ounces?