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?(c)Compare the probabilities from parts (a) and (b). (50 points)