Question:medium

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 ?

Updated On: Feb 3, 2026

Y is conditionally independent of V given W
X is conditionally independent of U given W
U and V are conditionally independent given W
Y and X are conditionally independent given W

Show Solution

The Correct Option is C

Solution and Explanation

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

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