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Let $U$ and $V$ be two independent and identically distributed random variables such that $P(U=+1)=P(U=-1) = \dfrac{1}{2}.$ The entropy $H(U + V)$ in bits is

  1. $\frac{3}{4} \\$
  2. $1$
  3. $\frac{3}{2} \\$
  4. $\log_{2}3$
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