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If each individual variance of two variables is known and the variance of their sum is...

If each individual variance of two variables is known and the variance of their sum is also known, it is easy to calculate the covariance between the two variables.

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Answer #1

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Var(aX + bY) = a2Var(X) + b2var(Y) + 2ab[cov(X,Y)]
So, we can find cov(X, Y) by substituting all the other values of variance if given.

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