Thread: Question on Poisson

1. Question on Poisson

The number of serious faults on a randomly chosen 1km stretch of motorway has a Poisson distribution of mean 2.1. The random variable X km is the distance between successive serious faults on the motorway.

Explain, using a Poisson distribution, why for $x\geq0$
$P(X>x)=e^{-2.1x}$

2. Originally Posted by I-Think
The number of serious faults on a randomly chosen 1km stretch of motorway has a Poisson distribution of mean 2.1. The random variable X km is the distance between successive serious faults on the motorway.

Explain, using a Poisson distribution, why for $x\geq0$
$P(X>x)=e^{-2.1x}$
Read this: http://imperator.usc.edu/~bruck/clas...xponential.pdf

the number of major faults on a randomly chosen 1km stretch of highway has a poisson distribution with mean 1.7

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