Let X be a random variable. (a) Let YaX be another random variable. What is EY, in terms of μ = EX? (b) Using part (a), show that Var (aX) = a² Var(X). (c) Prove that Var(X + b) = Var (X).

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C2. Let X be a random variable.
(a) Let Ya.X be another random variable. What is EY, in terms of μ = EX?
(b) Using part (a), show that Var(aX) = a² Var(X).
(c) Prove that Var(X + b) = Var (X).
Transcribed Image Text:C2. Let X be a random variable. (a) Let Ya.X be another random variable. What is EY, in terms of μ = EX? (b) Using part (a), show that Var(aX) = a² Var(X). (c) Prove that Var(X + b) = Var (X).
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