Properties of the Distribution

Calculation of Mean and Variance

Calculating E( X ), the expectation or mean of the hypergeometric( G, B, n ) distribution.

> restart;

> with(plots):

> f(x):=HypergeometricPDF(G,B,n,x);

> EX:=simplify(sum(x*f(x),x=0..G));

Calculating Var( X ), the variance of the Hypergeometric( G, B, n ).

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

> EXX:=simplify(sum(x^2*f(x),x=0..G));

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