Question

. Given that X ∼ B(n, p); Show that i. E(X(X − 1)) = n(n − 1)p 2 ii. E( 1 X+1 ) = 1 p(n+1) (1 − (1 − p) n+1) iii. If E(X) = 6 and V ar(X) = 2.4; Find P(X = 5)