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Inside Collection (Textbook):

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

# Practice 3: Poisson Distribution

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 ~____________________________

P(8)

### Exercise 3

What values does X X take on?

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.

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.

No

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