Prob. 3. The probability distribution of two random variables (X,Y) is P(X=0, Y = 0) =...

 

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Prob. 3. The probability distribution of two random variables (X,Y) is P(X=0, Y = 0) = 0.3; P(X=0, Y = 1) = 0.2; P(X= 1, Y = 0) = 0.5; P(X= 1, Y = 1) = 0. Consider sequences of (XN, YN) of length-100. (a) Find the sequence most likely to appear. (b) Let 3 = 0.1. Can you find a typical sequence typical sequence pair (x, y), respectively? (c) Let 3 = 0.0001. Can you find a typical sequence typical sequence pair (x, y), respectively? , a typical sequence y, and a jointly , a typical sequence y, and a jointly Prob. 3. The probability distribution of two random variables (X,Y) is P(X=0, Y = 0) = 0.3; P(X=0, Y = 1) = 0.2; P(X= 1, Y = 0) = 0.5; P(X= 1, Y = 1) = 0. Consider sequences of (XN, YN) of length-100. (a) Find the sequence most likely to appear. (b) Let 3 = 0.1. Can you find a typical sequence typical sequence pair (x, y), respectively? (c) Let 3 = 0.0001. Can you find a typical sequence typical sequence pair (x, y), respectively? , a typical sequence y, and a jointly , a typical sequence y, and a jointly

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