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Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received
signals for both bits are as shown below.

If the detection threshold is $1,$ the $BER$ will be

  1. $\frac{1}{2} \\ $
  2. $\frac{1}{4} \\$
  3. $\frac{1}{8} \\$
  4. $\frac{1}{16}$  
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