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Textbook by: Barbara Illowsky, Ph.D., Susan Dean. E-mail the authors

# Practice 4: Geometric Distribution

Summary: This module provides further practice with topics of Geometric Distribution in Statistics.

## Student Learning Outcomes

• The student will analyze the properties of a geometric distribution.

## Given:

Use the information from the Binomial Distribution Practice shown below.

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. (Source: http://heri.ucla.edu/PDFs/pubs/TFS/Norms/Monographs/TheAmericanFreshman2011.pdf)

Suppose that you randomly select freshman from the study until you find one who replies “yes.” You are interested in the number of freshmen you must ask.

## Interpret the Data

### Exercise 1

In words, define the Random Variable XX.

XX ~

G(0.713)

### Exercise 3

What values does the random variable X X take on?

1,2,…

### Exercise 4

Construct the probability distribution function (PDF). Stop at x = 6x=6.

Table 1
xx P(x)P(x)
1
2
3
4
5
6

### Exercise 5

On average(μμ), how many freshmen would you expect to have to ask until you found one who replies "yes?"

1.4

### Exercise 6

What is the probability that you will need to ask fewer than 3 freshmen?

0.9176

### Exercise 7

Construct a histogram or plot a line graph. Label the horizontal and vertical axes with words. Include numerical scaling.

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A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

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