Question: Problem 4 Let p be a probability distribution on the interval [0, 1]. Let the kth moment of p be the expected value HK =

Problem 4 Let p be a probability distribution on the interval [0, 1]. Let the kth moment of p be the expected value HK = E[xx ] = / x p(x)dr . Prove that the n x n matrix H with entries Hoj = fit; is positive semidefinite

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