5(b). Suppose now that X1, X2, X3 and X4 are all independent random variables, each having the normal distribution given in part (a) of this question (i.e. with mean 11 and variance 16). Define T4 and X by T4 = X1 +X2 + X3 + X4, X = (X1 + X2 + X3 + X4) / 4. (i) Find Prob( X > 13). (ii) Find Prob(T4 < 40). (iii) Discuss in common sense terms the relation between your answer to Question 5(a)(i) and your answer to Question 5(b)(i).

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