Short Answer

What values does X take on?

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

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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 $0, 1, 2, 3, 4 \dots . .$ According to the given situation, we can easily say that $X$ follows 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 $n \to \infty$ and circumstance of no. of events in a fixed time interval is fixed.

Probability mass function of Poisson distribution is: $P (X = x) = \frac{e^{λ} x^{x}}{x!} x = 0, 1, 2, 3, 4, . . . .$

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What values does X take on?

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What values does X take on?

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