please do fast!! i will rate you good for sure!!

Use Markov's inequality to show that, for any t > 0 and any random variable such that E(etx ) exists, P(X > a) s e-at E(ex) for a > 0. Such that P(X > a) s infle-at E(ex) ]. t>0 Hence show that if X is Poisson with parameter 1, and x > 1, X P(X 2 x) S ex-a(1