Given two random variables X and Y and their joint distribution P(X,Y): X = 2 X...

 

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Given two random variables X and Y and their joint distribution P(X,Y): X = 2 X = 4 X = 6 Y = Red (2) 0.18 0.15 %3D 0.07 Y = Blue (4) 0.15 0.05 0.15 Y = Green (6) 0.04 0.16 0.05 %3D Find: 1.aа) Н(X) 1.b) Н(Y) 1.c.) D(X||Y) 1.d) D(Y||X) 1.e) H(XIY) 1.f) H(Y|X) 1.g) H(X,Y) 1.h) H(Y) - H(YX) 1.1) 1(X;Y) 1.j) If X is the number of wheels on a vehicle and Y is the color of the vehicle, what does I(X;Y) tell us? (Let's say we can observe the number of wheels easily but not the color) Given two random variables X and Y and their joint distribution P(X,Y): X = 2 X = 4 X = 6 Y = Red (2) 0.18 0.15 %3D 0.07 Y = Blue (4) 0.15 0.05 0.15 Y = Green (6) 0.04 0.16 0.05 %3D Find: 1.aа) Н(X) 1.b) Н(Y) 1.c.) D(X||Y) 1.d) D(Y||X) 1.e) H(XIY) 1.f) H(Y|X) 1.g) H(X,Y) 1.h) H(Y) - H(YX) 1.1) 1(X;Y) 1.j) If X is the number of wheels on a vehicle and Y is the color of the vehicle, what does I(X;Y) tell us? (Let's say we can observe the number of wheels easily but not the color)

Answer rating: 100% (QA)

ANSWERS 1a HX 29 log229 49 log249 39 log239 192 1b HY ... View the full answer