Show that if (tilde{x}_{1} succeq_{mathrm{FSD}} tilde{x}_{2}) then (mathbb{E}left[tilde{x}_{1} ight] geq mathbb{E}left[tilde{x}_{2} ight]) and provide a counterexample showing

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Show that if \(\tilde{x}_{1} \succeq_{\mathrm{FSD}} \tilde{x}_{2}\) then \(\mathbb{E}\left[\tilde{x}_{1}\right] \geq \mathbb{E}\left[\tilde{x}_{2}\right]\) and provide a counterexample showing that the converse implication does not hold.


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