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Question 13 CDF for max : (F(M) = Pr(max(x_1,x_2,...,x_n)<=M) = M^n) (for (0<=M<=1)) PDF for max : (f(M) = nM^{(n-1)}) (E[M] = \int _0^1 nM^{(n-1)} dM = n/(n+1)) Similarly, (E[M-m]=(n-1)/(2n)). Should use above pdf + probability of minimum conditional on maximum.