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Consider two identically distributed zero-mean random variables $U$ and $V.$ Let the cumulative distribution functions of $U$ and $2V$ be $F(x)$ and $G(x)$ respectively. Then, for all values of $x$

  1. $F(x) - G(x) \leq 0$
  2. $F(x) - G(x) \geq 0$
  3. $(F(x) - G(x)) \cdot x\leq 0$
  4. $(F(x) - G(x)) \cdot x\geq 0$
in Probability and Statistics by (15.8k points)
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