1. 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 10.07 Y = Blue (4) 0.15 0.05 10.15 Y = Green (6) 0.04 0.16 0.05 Find: 1.a) H(X) (10 points) 1.b) H(Y) (10 points) 1.c.) D(XIIY) (10 points) 1.d) D(YI|X) (10 points) 1.e) H(XIY) (10 points) 1.f) H(Y|X) (10 points)