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5.11 Practice 3: poisson distribution

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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

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

X ~ ______________

P(8)

What values does X take on?

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

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

x P(x)
0
4
8
10
11
15

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

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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Source:  OpenStax, Engr 2113 ece math. OpenStax CNX. Aug 27, 2010 Download for free at http://cnx.org/content/col11224/1.1
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