GATE ECE 2013 | Question: 47

Question

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

• A. $\frac{3}{4} \\$
• B. $1$
• C. $\frac{3}{2} \\$
• D. $\log_{2}3$