Given that a random variable have a Poisson distribution with ;

(i) Find [co()] if () = ln 2
(ii) Suppose is a random variable with probability density function given by; 1 −1− , ≥ 0 (x) = {Γ() . . . 0 , oℎ Where is a fixed positive constant. Show that; Γ( + ) 1 + ( ) , = 0,1, 2 (x) = {Γ()Γ( + 1) 2 . . . 0 , oℎ