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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…

According to the given situation, we can clearly say that Xfollows the Poisson Distribution with parameter mean (λ)is 8 per day and variance (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 occurrence of no. of events in a fixed time interval is fixed.

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

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X~_____(_____,_____)

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