12.1. To illustrate the approach to normality as the number of components increases, perform this experiment on dice totals. For a single die, the faces may show 1, 2, 3, 4, 5, 6 with equal probability, that is, 1=6 each. This is a flat-topped uniform distribution. Now throw three dice and count the total of the faces showing. The total can be anywhere from 3 to 18 inclusive, but the extremes are much less likely than, say, 10 or 11. Throw the three dice 108 times, tabulating directly into a frequency table. Compare with the theoretical frequency distribution given in the answers.