Assignment:
Q1. Show that the time interval between two events in a homogeneous Poisson point process with intensity Ahas an exponential distribution with mean I/λ.
Q2. If N1 and N2 are independent homogeneous Poisson point processes (HPPP) with intensities λ1 and λ2, show that N = N1 + N2 is HPPP with intensity
λ = λ1 + λ2
Your answer must be, typed, double-spaced, Times New Roman font (size 12), one-inch margins on all sides, APA format and also include references.