Question: Problem 3.24 The random variable X has pf given by the following table: x 2 1 0 1 2 f(x) 0.2 0.1 0.1 0.4 0.2

Problem 3.24 The random variable X has pf given by the following table: x −2 −1 0 1 2 f(x) 0.2 0.1 0.1 0.4 0.2 Compute:

(a) E(X)

(b) E(X2)

(c) V (X)

(d) E(2X)

(e) E(2−X)

(f) E(sin(πX))

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