Question: Problem 3.25 The random variable X has the pf defined by f(x) = 5x2 15 ; x = 2, 1, 0, 1, 2; f(x)=0 elsewhere.

Problem 3.25 The random variable X has the pf defined by f(x) = 5−x2 15 ; x = −2, −1, 0, 1, 2; f(x)=0 elsewhere. Compute:

(a) E(X)

(b) E(X2)

(c) V (X)

(d) E(2X)

(e) E(2−X)

(f) E(cos(πX)).

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