5. The random variable X is said to be a discrete uniform random variable on the integers 1, 2,..., n if

$$

P(X=i) = \frac{1}{n}

$$ (i = 1, 2,..., n)

For any nonnegative real number x, let Int(x) (sometimes written as [x]) be the largest integer that is less than or equal to x. If U is a uniform random variable on (0, 1),variable on (0, 1), show that X = Int(U)+ 1 is a discrete uniform random variable on 1,..