prove the following propositions: I need both items thanks 3. Let X1, X, ,. . . random variables lid, with exponential distribution A = 1. Show that Xn P( >liv.) = 1 Xn log n P( >2i.v.) = 0 log n but 4. Let X1, X2 ,. . . random variables such that P(X, = 0) = 1 - -, P(Xn = n' ) = for E(Xm ) n = 1, 2,. .. Show that X almost certainly converges (find limit X), but Not converge to E(X" ), Vm = 1,2