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Exercise 4: Suppose X is continuous random variable with PDF f(x) = e- for x > 0. Find Var(X) I Bonus. Suppose X is a

Exercise 4: Suppose X is continuous random variable with PDF f(x) = e- for x > 0. Find Var(X) I Bonus. Suppose X is a continuous random variable with PDF f(x), and a, b are constants. Prove (1) E(ax + b) = aE(X) + b (2) Var(aX + b) = a2Var(X)

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