Question: B.1* Let X be a discrete random variable with values x = 0, 1. 2 and probabilities P(X=0) = 0.25, P(X = 1) = 0.50,

B.1* Let X be a discrete random variable with values x = 0, 1. 2 and probabilities P(X=0) = 0.25, P(X = 1) = 0.50, and P(X = 2) = 0.25, respectively.

(a) Find E(X).

(b) Find E(X2).

(c) Find var(X).

(d) Find the expected value and variance of g(X) = 3X + 2.

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