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Variance of the sum of two statistically independent random variables XXX and YYY, σX+Y2\sigma_{X+Y}^2σX+Y2, is
σX2+σY2\sigma_X^2 + \sigma_Y^2σX2+σY2.
σX2+σY2+2σXY\sigma_X^2 + \sigma_Y^2 + 2\sigma_{XY}σX2+σY2+2σXY.
σX2+σY2+σXY\sigma_X^2 + \sigma_Y^2 + \sigma_{XY}σX2+σY2+σXY.
σX2+σY2−2σXY\sigma_X^2 + \sigma_Y^2 - 2\sigma_{XY}σX2+σY2−2σXY.
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