Answer to Question #350925 in Statistics and Probability for Sukesh

Question

The average number of yearly accident at a traffic intersection is 5. Find the probability that there are exactly three accidents at the same intersection this year.

Answer 1

Let $X=$ the number of accidents: $X\sim Po(\lambda).$

Given $\lambda=5.$

$$P(X=3)=\dfrac{e^{-5}(5)^3}{3!}=0.140374$$