Question: Exercise 7.10 If X is uniformly distributed on (a, b), show that E(Xk ) = bk+1 ak+1 (b a)(k + 1) for k

Exercise 7.10 If X is uniformly distributed on

(a, b), show that E(Xk ) =

bk+1 − ak+1

(b − a)(k + 1)

for k = 1, 2, . . . .

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