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Practice 3: Poisson Distribution

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

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

Student Learning Outcomes

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

Given

On average, eight teens in the U.S. die from motor vehicle injuries per day. As a result, states across the country are debating raising the driving age. (Source: http://www.cdc.gov/Motorvehiclesafety/Teen_Drivers/teendrivers_factsheet.html) )

Interpret the Data

Exercise 1

Assume the event occurs independently in any given day. In words, define the Random Variable XX.

Exercise 2

XX ~____________________________

Solution

P(8)

Exercise 3

What values does X X take on?

Solution

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

Exercise 4

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

Table 1
xx P(x)P(x)
0  
4  
8  
10  
11  
15  

Exercise 5

Is it likely that there will be no teens killed in the U.S. from motor vehicle injuries on any given day? Justify your answer numerically.

Solution

No

Exercise 6

Is it likely that there will be more than 20 teens killed in the U.S. from motor vehicle injuries on any given day? Justify your answer numerically.

Solution

No

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