Let Y be the random variable of Question 3.4.6, where for a positive integer n, fY (y)

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Let Y be the random variable of Question 3.4.6, where for a positive integer n, fY (y) = (n + 2) (n + 1)yn (1− y), 0≤ y ≤1.
(a) Find Var(Y).
(b) For any positive integer k, find the kth moment around the origin.
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