2. [Marks: 3+2] Let Y be spatial Poisson point process on R with intensity function X(x, y) = 22+ 2y in the region W = [0, 2] x [0, 1]. The intensity of the process is zero outside W. Let B = [0, 2] x [0, 2] (a) Evaluate E[NY (B)] and Var[NY (B)]