[ll] points} Prove or give a counterexample to the following statements. a} Let ME} be the moment generating function of a random variable X. Then1 MQF E MH}. b} If X11435, . .. is a sequence of independent and identically distributed random variables with mean EIIXJ = ,o, then only the following two can be true (nothing else}. Either 1 limP(|X1+X2+---+Xn|5}.l) =1. 1'1 111-50 or lim P IXit X2 +.. + Xyl 0.01 =0 . 1-+00 c) Let X be a continuous random variable. Then, for any a > 0, it is always true that E(X) P(X > a) 5