EC > GATE 2018 > Detection Theory
A binary source generates symbols X∈{-1,1} which are transmitted over a noisy channel. The probability of transmitting X=1 is 0.5. Input to the threshold detector is R=X+N. 
The probability density function fN(n) of the noise N is shown below. If the detection threshold is zero, then the probability of error (correct to two decimal places) is
Correct : 0.125
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