# Covariance properties 2

**Discrete Mathematics**Level 3

Given knowledge of \( \text{Cov}(W, Y) \), \( \text{Cov}(W, Z) \), \( \text{Cov}(X, Y) \), and \( \text{Cov}(X, Z) \), which of the following can necessarily be computed?

I. \( \text{Cov}(W + X, Y + Z) \)

II. \( \text{Cov}(Y + Z, W + X) \)

III. \( \text{Cov}(W, X + Y + Z) \)

IV. \( \text{Cov}(W, X + Y + Z) \), if it known that \( W \) and \( X \) are independent