Question
Data Science and Artificial Intelligence Question on Random variables
Consider five random variables U, V, W, X, and Y whose joint distribution satisfies :
P(U, V, W, X,Y) = P(U)P(V)P(W|U,V)P(X|W)P(Y|W)
Which ONE of the following statements is FALSE ?
A
Y is conditionally independent of V given W
B
X is conditionally independent of U given W
C
U and V are conditionally independent given W
D
Y and X are conditionally independent given W
Answer
U and V are conditionally independent given W
Explanation
Solution
The correct option is (C) : U and V are conditionally independent given W.