3.. Given two random variables X and Y and their joint distribution P(X,Y) (6 points each) :
X = 2 X = 4 X = 6
Y = 2 0.14 0.14 0.06
Y = 4 0.17 0.17 0.15
Y = 6 0.02 0.1 0.05
Find (include the calculations):
H(X)
H(Y)
D(X||Y)
D(Y||X)
H(X|Y)
H(Y|X)
H(X,Y)
H(Y) - H(Y|X)
I(X;Y)
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