Question

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 1

The Correct Option is C

Option (C) is correct: U and V are conditionally independent given W.