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Q.65

Expert-verifiedFound in: Page 287

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 $

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

$X$ 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: $P(X=x)=\frac{{e}^{\lambda}{x}^{x}}{x!}x=0,1,2,3,4,....$

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