Given a random variable say $X$ which is symmetric about some point $a$. If I define another random variable Y whose expectation $E[Y|X=x] = f(x)$.
Is there a mechanism to say something about the second moment $E[Y^2|X]$ in terms of X?
2026-04-07 16:12:42.1775578362
conditonal expectation second moment of a symmetric random variable
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