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Introductory Statistics
Found in: Page 287
Introductory Statistics

Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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Short Answer

What values does X take on?

Xcan take any positive integer value from zero to positive perpetuity. X=0,1,2,3,4,

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Step by Step Solution

Step 1 :Given

Eighteen teens on mean dies due to engine instrument casualty every day.

Step 2 : Explanation

X is a arbitrary variable who represents the no. of teens who die because of motor vehicle injuries. X can take any value 0,1,2,3,4..According to the given situation, we can easily say that Xfollows the Poisson Distribution with parameter mean (λ) is 8 per day and friction (λ) is also 8 per day. In Poisson distribution Variance is equals to mean.Poisson distribution occurs when there is not definite no. of trials or n and circumstance of no. of events in a fixed time interval is fixed.

Probability mass function of Poisson distribution is: P(X=x)=eλxxx! x=0,1,2,3,4,....

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