Suppose that the number of storms in the upcoming rainy season is Poisson distributed with parameter λ = 1, where θ is uniformly distributed over (0,5). That is, if X is the number of storms, then X ~ Poisson(1) and θ ~ Uniform(0,5). Find the probability that there are at least 3 storms this season. You only need to set up the integral:
(Hint: Find the probability that there are no more than 2 storms this season.)