Question: Suppose that X has density function Compute E[X n] (a) by computing the density of Xn and then using the definition of expectation and (b)

Suppose that X has density function

1 0 < x < 1 f(x) = 0 otherwise

Compute E[X n]

(a) by computing the density of Xn and then using the definition of expectation and

(b) by using Proposition 4.5.1.

1 0 < x < 1 f(x) = 0 otherwise

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