Question: Let X be a continuous random variable on 0 x 2, with the density function f (x) = 3/8 x 2 . (a)

Let X be a continuous random variable on 0 ≤ x ≤ 2, with the density function f (x) = 3/8 x2.

(a) Calculate Pr (X ≤ 1) and Pr (1 ≤ X ≤ 1.5).

(b) Find E(X ) and Var (X ).

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