To find the variance of a hypergeometric random variable in Example 2.3-4 we used the fact that

Prove this result by making the change of variables k = x − 2 and noting that

References Example 2.3-4

Answer:

Step 1 of 3:

To find the variance of a hypergeometric random variable.

Let X be the hypergeometric distribution.

Here, n selected from N =

n = x + (n - x) , where ‘x’ selected from and (n - x) selected from .

Therefore,

Then ,

E(X) = =

=

=

Therefore,