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Chapter 4: Q.65 (page 287)

What values does X take on?

Short Answer

Expert verified

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

Step by step solution

01

:Given

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

02

Explanation

Xis a arbitrary variable who represents the no. of teens who die because of motor vehicle injuries. Xcan take any value 0,1,2,3,4鈥�..
According to the given situation, we can easily say that X
follows the Poisson Distribution with parameter mean (位)is 8 per day and friction(位) 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鈫�鈭�and circumstance of no. of events in a fixed time interval is fixed.

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

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