The following is an experiment with, 2000, random words in the alphabet, {2, 3, 7}, that add-up to, 200 and finding the empirical average, standard deviation, and scaled moments up\ to the, 6, -th accodring to the random variable: number of occurrences of, 7 It also outputs the exact values (theorerically derived) for the averge and \ standard deviation [6.964500000, 2.065487773, 0.1762281979, 3.095674162, 1.633202554, 15.56570838] , [6.96492600026984, 2.10509412276803] This took, 8.578, seconds .