... the probability that the sum ofthe rolls lies between 1400 and 1550?The sum is a random variableS420= X1+ X2+ ···+ X420,where each Xjhas distributionmX=1234 56 1 /61 /61 /61 /61 /61 /6 We ... theorem.5R. M. Kozelka, “Grade-Point Averages and the Central Limit Theorem,” American Math.Monthly, vol. 86 (Nov 1979), pp. 77 3-7 77. 6 W. Feller, Introduction to Probability Theory and its Applications, ... with the height of the kth spike given by b(n, p, k). For moderate-sized 9.3. CONTINUOUS INDEPENDENT TRIALS 361 -6 -4 -2 2 4 6 0.10.20.30.4Figure 9.15: Graph of t−density for n =1, 3, 8...