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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.3 - Problem 10e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.3 - Problem 10e

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To find the variance of a hypergeometric random variable

ISBN: 9780321923271 41

Solution for problem 10E Chapter 2.3

Probability and Statistical Inference | 9th Edition

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Problem 10E

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

Step-by-Step Solution:

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,

Step 2 of 2

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