Question: Let X be a random variable with range [1, 1] and let fX (x) be the density function of X. Find (X) and 2(X) if,

Let X be a random variable with range [−1, 1] and let fX (x) be the density function of X. Find μ(X) and 2(X) if, for |x| < 1,
(a) fX (x) = 1/2.
(b) fX (x) = |x|.
(c) fX (x) = 1 − |x|.
(d) fX (x) = (3/2)x2.

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