(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 $\frac{1}{10}.$ In general, the density for a uniformly distributed random variable X is given by
$f(x) = 1=n , \text{ where : n is a postive integer and } x = x_1, x_2, ... , x_n$
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
$m(t) = \text{ (sum) } e^{tx} \frac{(1)}{(n)}$ 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.