The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 ounce.
(a) What is the probability that a randomly selected carton has a weight greater than 10.21 ounces?
(b) You randomly select 25 cartons. What is the probability that their mean weight is greater than 10.21 ounces?