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.
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