Suppose a candy maker prepares for trick-or-treaters with large shipments of candy. They place the candy in bags and place the bags in boxes. The weight of each box varies, but the average weight per box is 12 pounds; the SD per box is 2 pounds. Assume the weight of any one box is independent of, and has the same probability distribution as, all the others. Compute the normal approximation of the probability that a batch of 180 boxes of candy will have a total weight that does not exceed 2,200 pounds. (That is, the total weight is at most 2,200 pounds.)Give the approximation in decimal form to four places. (Anything within 0.001 of the correct answer will be accepted.)