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Discrete Random Variables: Practice 3: Poisson Distribution

Module by: Dr. Barbara Illowsky, Susan Dean

Summary: This module provides further practices and exercises on Poisson Distribution in statistics.

Student Learning Objectives

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

Given

On average, ten teens are killed in the U.S. in teen-driven autos per day (USA Today, 3/1/2005). As a result, states across the country are debating raising the driving age.

Interpret the Data

Exercise 1

In words, define the Random Variable XX.

Exercise 2

XX ~____________________________

Solution 2

P(10)

Exercise 3

What values does X X take on?

Solution 3

0,1,2,3,4,...

Exercise 4

For the given values of XX, fill in the corresponding probabilities.

XX P(X=x)P(X=x)
0  
4  
8  
10  
11  
15  

Exercise 5

Is it likely that there will be no teens killed in the U.S. in teen-driven autos on any given day? Numerically, why?

Solution 5

No

Exercise 6

Is it likely that there will be more than 20 teens killed in the U.S. in teen-driven autos on any given day? Numerically, why?

Solution 6

No

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