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Chapter 4: Q.64 (page 287)

X ~ _____(_____,_____)

Short Answer

Expert verified

The required value isX~P(8).

Step by step solution

01

:Given

Eighteen teens on average dies due to motor vehicle accident every day.

02

:Interpretation

Xis a random 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 clearly say that Xfollows the Poisson Distribution with parameter mean (位)is 8 per day and variance (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 occurrence of no. of events in a fixed time interval is fixed.

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

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