A specific 1 mile stretch of a winding road, car cras=hes occur at a rate of 11.5 per year according to a poisson process.
a.find the probability that exactly 23 car crashes occur in this designated area over the span of two years.

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toporc
The rate of crashes per a span of two years is given by:
[tex]11.5\times2=23=\lambda[/tex]
[tex]P(X=23)=\frac{e^{-23}\times23^{23}}{23!}=0.0829[/tex]