A company packs apples in sets of 24. The apples are randomly selected to go into a randomly selected box. The weights of the full boxes are approximately normal distributed with a mean of 7.5 pounds and a standard deviation of 0.87 pounds. a) What is the probability that a randomly selected full carton will weight between 8 pounds 3. and 9.2 pounds? b) The weights of the empty boxes have a mean of 1.2 pounds with a standard deviation of 31 pounds. Assume that the weights of the empty boxes and the weight of the apples are independent. Let X represent the weight of a single randomly selected apple. a) Find the mean of X b) Find the standard deviation of x.