# Covariance properties 2

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

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