1. Given two random variables X and Y and their joint distribution P(X,Y): X = 2 X...
Fantastic news! We've Found the answer you've been seeking!
Question:
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 | 0.07 |
Y = Blue (4) | 0.15 | 0.05 | 0.15 |
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(X||Y) (10 points)
1.d) D(Y||X) (10 points)
1.e) H(X|Y) (10 points)
1.f) H(Y|X) (10 points)
1.g) H(X,Y) (10 points)
1.h) H(Y) - H(Y|X) (10 points)
1.i) I(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 I(X;Y) tell us? (Let's say we can observe the number of wheels easily but not the color) (10 points)
Posted Date: