Use the discretization approach (see Section 14.7(C)) to compute the distribution of the sum of m independent uniform(−1/2,1/2) random variables. Compare your approximation of the density to that of...

Use the discretization approach (see Section 14.7(C)) to compute the distribution of the sum of m independent uniform(−1/2,1/2) random variables. Compare your approximation of the density to that of the normal (with the same variance) for samples of size m = 3, 5,12.