Answer to Question #258558 in Statistics and Probability for kim

Question

The average number of days school is closed due to snow during winter in a certain city in the eastern part of United States is 4. What is the probability that the schools in the city will close for 6 days during a winter.

Answer 1

We approximate the number of days the school will close due to snowduring winter by a Poisson distribution: $X\sim Po(\lambda t).$

Given $\lambda t=4.$ Then

$$P(X=6)=\dfrac{e^{-4}\cdot4^6}{6!}\approx0.1042$$