A shipping pallet holds fifteen boxes. Each box contains 260 pieces of part X and 140 pieces of part Y. The weight of part X is normally distributed with a mean of 1.2 lb and standard deviation of 0.18 lb. The weight of part Y is uniformly distributed between 1.1 lbs to 1.5 lbs. Using a Monte Carlo simulation: a. Compute the mean and standard deviation of the pallet weight.
b. Compute the probability that the pallet weight will exceed 3015 lb.