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1. Given two random variables X and Y and theirjoint distribution P(X,Y): Media in Mum Y = Green (6) m Find: 1.a) H(X) (10 points)

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1. Given two random variables X and Y and theirjoint distribution P(X,Y): Media \"in Mum Y = Green (6) m Find: 1.a) H(X) (10 points) 1.b) H(Y) (10 points) 1.c.) D(X||Y) (10 points) 1.d) D(Y||X} (10 points) 1.e) H(X|Y) (10 points) 11) H(Y|X) (10 points) 1.g) H(X,Y) (10 points) 1m H(Y) - H(Y|X) (10 points) 1.0 |(X;Y) (10 points) 1.j) If X is the number of wheels on a vehicle and Y is the color of the vehicle, what does |(X;Y) tell us? (Let's say we can observe the number of wheels easily but not the color) (10 points)

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