10. Random variables X;, i=1,2,..., n are independent and uniformly distributed in the interval [0,1] with means m; and
Posted: Wed May 11, 2022 6:14 am
10. Random variables X;, i=1,2,..., n are independent and uniformly distributed in the interval [0,1] with means m; and variances o,i =1,2,...,n. Compare the density of X = X: + X2 +.-- + X with the normal approximation fx (x) = -Vzhexp(-+(*)) with m = ... « m+m2+...+m, and o2 =o+o+to for n=2,3 and 4 (analytically and by simulation - see Chapter 2 for MC simulation methods).