V and W and Z are Poisson distributions

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V∼P(λ) and W∼P(λ) and Z∼P(λ) meaning that V and W and Z are Poisson distributions and independent. X=W+V and Y=V+Z qus1: what cov(X,Y)? qus2: Do X,Y are independent? qus3: F(X,Y)=?