Guest roger Posted April 25, 2005 Share Posted April 25, 2005 i cant figure out this question. N people playing a game, and X_i is the score of the ith person. assume X_i are independent with density f(x)=2x for 0<x<1; and f(x)=0 otherwise. High score wins. What is the expected value of the winner's score? thanks in advance Link to comment Share on other sites More sharing options...

Tartaglia Posted May 9, 2005 Share Posted May 9, 2005 P (winner < x) = x^2n therefore F(x) = X^2n therefore f(x) = 2n*x^(2n-1) E(X) = integrate between 1 and 0 f(x) * x dx E(X) = 2n/2n+1 Link to comment Share on other sites More sharing options...

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