A discrete random variable is said to be uniformly distributed if it supposes a finite number of values with each value occurring with same probability. If we consider the generation of single random digit, then Y, the number generated is uniformly distributed with each possible digit occuring with probability 1/10. In gener, the density for uniformly distributed random variable is given by f(x) = 1/n n a positive integer x = x1,x2,x3...,xn
a) Find the moment generating function for a discrete uniform random variable.
b) Use the moment generating function to find E[X], E[x^2], and variance