Question: 14. Let X be a continuous random variable with the probability density function f (x) = 1 x sin x if

14. Let X be a continuous random variable with the probability density function f (x) =    1 π x sin x if 0 < x < π 0 otherwise. Prove that E(Xn+1 ) + (n + 1)(n + 2)E(Xn−1 ) = πn+1 .

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