The following is an experiment with, 2000, random words in the alphabet, {1, 3, 5}, 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, 3 It also outputs the exact values (theorerically derived) for the averge and \ standard deviation [26.66400000, 3.960063636, 0.04235754735, 2.897676715, 0.4230812511, 12.99297709], [26.6743594917029, 3.94254151049284] This took, 12.930, seconds .