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.a) (X) 1.b) (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)