Sums of Discrete Random Variables

1. Let X[1] , X[2] , ..., X[n] denote the outcomes when rolling n fair dice. Let Y[n] = X[1]+X[2] + ... + X[n] equal the sum of these n rolls. Use animation to plot probability histograms for the distribution of Y[n] . Solution

2. Let X[1] , X[2] , ..., X[n] denote the outcomes when rolling n fair m -sided dice. Let Y[n] = X[1]+X[2] + ... + X[n] equal the sum of these n rolls. Use animation to plot probability histograms for the distribution of Y[n] . Superimpose an approximating normal p.d.f. Solution