(Discrete uniform distribution) A discrete random variable is said to be uniformly distributed if it assumes a nite number of values with each value occurring with the same probability. If we consider the generation of a single random digits, then Y , the number generated, is uniformly distributed with each possible digit, 0, 1, 2, ... , 9 occurring with probability 1/10. In general, the density for a uniformly distributed random variable X is given by
f(x) = 1=n , where : n is a postive integer and x = x1, x2, ... , xn
Find the moment generating function for the discrete uniform random variable X.
- I don't know how to approach this with what I have from class... all I can come up with is
m(t) = (sum) e^tx (1/n) which I know is complete rubbish. I am grasping so little of this so any assistance in what a moment generating function is and the concepts needed for this question would be greatly appreciated.