Question: 4. For real numbers and , let Prove that for random variables X and Y, sgn(a)=0 1 if a > 0 if a 0

4. For real numbers α and β, let

sgn(a)=0 1 if a > 0 if a 0 -1 if a

Prove that for random variables X and Y,

< 0.

sgn(a)=0 1 if a > 0 if a 0 -1 if a < 0.

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