The number of catastrophic accidents at Sosal & Sons can be described by a homogeneous Poisson process with intensity λ = 3 a year. (1) What is the probability p≥2 that at  least two catastrophic...

The number of catastrophic accidents at Sosal & Sons can be described by a homogeneous Poisson process with intensity λ = 3 a year.

(1) What is the probability p≥2 that at  least two catastrophic accidents will occur in the second half of the current year?

(2) Determine the same probability given that two catastrophic accidents have occurred in the first half of the current year.