×
Log in to StudySoup
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.3 - Problem 10e
Join StudySoup for FREE
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 2.3 - Problem 10e

Already have an account? Login here
×
Reset your password

To find the variance of a hypergeometric random variable

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 10E Chapter 2.3

Probability and Statistical Inference | 9th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

4 5 1 276 Reviews
20
4
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:

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,


Step 2 of 2

Chapter 2.3, Problem 10E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

To find the variance of a hypergeometric random variable