Examveda

A binary symmetric channel (BSC) has a transition probability of $$\frac{1}{8}.$$ If the binary transmit symbol X is such that $${{\text{P}}_{\left( {{\text{X}} = {\text{0}}} \right)}} = \frac{9}{{10}},$$   then the probability of error for an optimum receiver will be

A. $$\frac{7}{{80}}$$

B. $$\frac{{63}}{{80}}$$

C. $$\frac{9}{{10}}$$

D. $$\frac{1}{{10}}$$

Answer: Option D


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