Question: Show all work. 2) Consider a ternary communication channel with input X and output Y'. Both inputs and outputs take on values 0. 1, or

Show all work.

2) Consider a ternary communication channel with input X and output Y'. Both inputs and outputs take on values 0. 1, or 2. The joint pmf of X and Y is X/Y 0 1 2 .24 .04 08 108 .20 .02 104 .08 22 a) Find the marginal pmfs of X and Y. b) Find the conditional pmf of X given Y = 1. c) Compute E(X), E(Y), and COV(X, Y)

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