Question: Let X have the density f(x) = cx 0 x 1 c(2 x) 1 x 2 0

Let X have the density f(x) =

⎧

⎪⎨

⎪⎩

cx 0 ≤ x ≤ 1 c(2 − x) 1 ≤ x ≤ 2 0 otherwise.

Find: (i)

c. (ii) E(X). (iii) E(2 − X)3. (iv) E[1/(2 − X)].

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