1. For a Poisson process with parameter , show that, for all > 0, P *D D D N (t) t D

1. For a Poisson process with parameter λ, show that, for all ε > 0, P *D D D N (t) t − λ D D D ≥ ε , → 0, as t → ∞. This shows that, for a large t, N (t)/t is a good estimate for λ.