The simplest of discrete random variables is one that assumes only a finite number of possible values, each possessing an equal probability. As we can see from the question given, this is a uniformly distributed, a continuous distribution with constant probability function.
For Mean and Variance,
Suppose X is a discrete uniform random variable on the consecutive integers a, a+1, a+2, …, b, for a ≤ b. The mean of X is …
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