Suppose that Ni (t) is a Poisson process with intensity λi, and you model

the number of insurance claims by the Poisson process for four dierent regions

with intensities λ1=20, λ2=25, λ3=35, and λ4 = 55 per month, respectively,

find the probability that the number of claim per year for those four regions are

larger than 1350.