Electronics and Communication Engineering - Exam Questions Papers - Discussion

3. 

The input to a binary communication system, denoted by a random variable x, takes on one of the two values 0 or 1 with probabilities and . The behaviour of the communication system is modelled by
P(Y = 1 |x = 1|) = and P(Y = 0|x = 0) =
Find P(Y = 1)

[A].
[B].
[C]. 1
[D].

Answer: Option B

Explanation:

No answer description available for this question.

Vishwamber Kale said: (Apr 29, 2014)  
P(Y = 1 |x = 1|) = 0.75 and P(Y = 1|x = 0) = 1/8,

p(x =0) = 0.75 p(x=1) = 0.25,

p( y=1) = P(Y = 1|x = 1|) *p(x=1)+P(Y = 1|x = 0)*p(x =0),

= 0.75*0.25+1/8 *0.75.

= 9/32.

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