Recall that for any function g(X) of a random variable X,
Chapter 2, Problem 2.6.2(choose chapter or problem)
Recall that for any function g(X) of a random variable X, E(g(X)) = g(x) f (x)dx where f (x) is the probability density function of X. Use this result to show that E(aX+b) =aE(X)+b and Var(aX+b) =a2Var(X)
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