Question: Problem (2): (10 points) The input source to a noisy communication channel is a random variable X over the four symbols a, b, c, d.

Problem (2): (10 points) The input source to a noisy communication

Problem (2): (10 points) The input source to a noisy communication channel is a random variable X over the four symbols a, b, c, d. The output from this channel is a random variable Y over these same four symbols. The joint distribution of these two random variables is as follows: X = a X = C 1/16 x=d 1/4 1/8 1/16 x=b 1/16 1/8 1/32 1/32 y=a y = b y = c y=d 0 1/16 1/32 1/32 0 1/16 1/16 0 Find the mutual information I(X;Y) between the two random variables in bits

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