Question: Let S be a sample space, and let X and X? be random variables such that X(s) ? X?(s) for all s ? S. Prove

Let S be a sample space, and let X and X? be random variables such that X(s) ? X?(s) for all s ? S. Prove that for any real constant t,

Pr {X > t} > Pr {X' > t} .

Pr {X > t} > Pr {X' > t} .

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