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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 .

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What values does X take on?

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

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

x P(x)
0
4
8
10
11
15

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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

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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, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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