Let X and Y be independent r.v.s. Show that Var(XY ) = Var(X)Var(Y )+(EX) 2 Var(Y )+(EY
Chapter 7, Problem 50(choose chapter or problem)
Let X and Y be independent r.v.s. Show that Var(XY ) = Var(X)Var(Y )+(EX) 2 Var(Y )+(EY ) 2 Var(X). Hint: It is often useful when working with a second moment E(T 2) to write it as Var(T)+ (ET) 2.
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