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Prove that if distribution F first order stochastically dominates distribution G, then it must be that F(x) 3 G (x) for all x E X,

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Prove that if distribution F first order stochastically dominates distribution G, then it must be that F(x) 3 G (x) for all x E X, where X is some compact set (flint: you may find the following part of definition of FUSD very useful: for every non-decreasing function u so you can use any such function in your proof)

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