Question

At an intersection, there are two accidents per day, on average. What is the probability that after the next accident there wll be no accidents at all for the next two days?

Answer 1

This is a question of poisson distribution with
Rate ($\small \lambda$) = 2
time (t) = 2
Since we know that for poisson distribution

Mean(a) = λ 2.0 * 2.0 4.0

For a Poisson Distribution

P(X =x) = e

x = 0

P(X = 0) = e-4040 0!

P(X = 0) = 0.0183