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Discrete Random Variables: Practice 5: Hypergeometric Distribution

Module by: Dr. Barbara Illowsky, Susan Dean

Summary: This module provides further practice and exercises on Hypergeometric Distribution in statistics

Student Learning Objectives

  • The student will investigate the properties of a hypergeometric distribution.

Given

Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16 business majors in the group and 7 non-business majors in the group. A random sample of 9 students is taken. We are interested in the number of business majors in the group.

Interpret the Data

Exercise 1

In words, define the Random Variable XX.

Exercise 2

XX ~

Solution 2

H(16,7,9)

Exercise 3

What values does X X take on?

Solution 3

2,3,4,5,6,7,8,9

Exercise 4

Construct the probability distribution function (PDFPDF) for XX.

XX P(X=x)P(X=x)
   
   
   
   
   
   
   
   
   
   

Exercise 5

On average(μμ), how many would you expect to be business majors?

Solution 5

6.26

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