If $X \sim U(-2,2)$ ,find the correlation between $X,|X|$ It is clear that $|X| \sim U(0,2)$. Obviously , $E(X)=0$ Then $E(X|X|)=E(X^2 \cap X>0)-E(X^2 \cap X \le 0)=0$ due to symmetry. Thus, the correlation coefficient becomes 0.Am I going wrong somewhere?
2026-03-25 20:08:34.1774469314
If $X \sim U(-2,2)$ ,find the correlation between $X,|X|$
56 Views Asked by user321656 https://math.techqa.club/user/user321656/detail AtRelated Questions in PROBABILITY
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