Question: Assume that X is a random variable with density function Let ???? r = E(Xr), r = 1, 2,, be the moments of X (around

Assume that X is a random variable with density function f(x)= x sin x 0, 0x n, otherwise.

Let ????′
r = E(Xr), r = 1, 2,…, be the moments of X (around zero). Then, verify that these moments satisfy the recursive relationship ????′
r+1 = πr+1 − (r + 1)(r + 2)????′
r−1, r = 2, 3,…

f(x)= x sin x 0, 0x n, otherwise.

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