Properties of the Distribution

Calculation of Mean and Variance

Calculating E( X ), the expectation or mean of the Discrete Uniform ( N ) distribution.

> restart;

> with(plots, display):

>

> f:=x->1/N;

> F:=x->floor(x)/N;

> EX:=simplify(sum(x*f(x),x=1..N));

Calculating Var( X ), the variance of the Discrete Uniform ( N ) distribution.

We will employ the formula: Var( X ) = E( ) -

> E_X_SQ:=simplify(sum(x^2*f(x),x=1..N));

> VarX:=simplify(E_X_SQ-EX^2);

>