EC > GATE 2018 > Bayes' Theorem
A random variable X takes values -0.5 and 0.5 with probabilities 1/4 and 3/4, respectively. The noisy observation of X is Y=X+Z where Z has uniform probability density over the interval (-1, 1). X and Z are independent. If the MAP rule based detector outputs
then the value of a (accurate to two decimal places) is
Correct : -0.5
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