4. Let (N,F,P) be a probability space and X a discrete random variable on this space....

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4. Let (N,F,P) be a probability space and X a discrete random variable on this space. Construct (N', F', P') a probability space and X' a random variable on this space such that i) px = px' ii) For all x R, X'-1(x) is of size at most one. 4. Let (N,F,P) be a probability space and X a discrete random variable on this space. Construct (N', F', P') a probability space and X' a random variable on this space such that i) px = px' ii) For all x R, X'-1(x) is of size at most one.