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Expert-verified Found in: Page 287 ### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208 # What values does X take on?

$X$can take any positive integer value from zero to positive perpetuity. $X=0,1,2,3,4,\dots \dots$

See the 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. $\mathbf{X}$ can take any value $0,1,2,3,4\dots ..$According to the given situation, we can easily say that $X$follows the Poisson Distribution with parameter mean $\left(\lambda \right)$ is 8 per day and friction $\left(\lambda \right)$ 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 $n\to \infty$ and circumstance of no. of events in a fixed time interval is fixed.

Probability mass function of Poisson distribution is: $P\left(X=x\right)=\frac{{e}^{\lambda }{x}^{x}}{x!}x=0,1,2,3,4,....$ ### Want to see more solutions like these? 