Question: Let {X }n and { Yn } be two sequences of random variables. Suppose Xn -p T and Ym -p y, as n -> co,

Let {X }n and { Yn } be two sequences of random variables. Suppose Xn -p T and Ym -p y, as n -> co, where x, y E R are constants. In the class, I proved Xn + Yn -pity. Please give a proof of the result: Xn Y, -pry. You should prove it from the definition of convergence in probability (i.e. you can't use theorem 9.2). (Hint: [XnYn-xyl = [XnYm-xYn+xYn-ryl

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