Variance Properties: Understanding Var(aX+bY+c) & Solving for Var(aX+bY)

[ja404]

[SOLVED] Properties of variance

Would the Var(aX + bY + c) just be the Var(aX+bY) since adding a single number to the function doesn't change the variance. I would then be able to use the property:

Var(aX+bY)= a^2Var(X)+b^2Var(Y)+2abCov(X,Y)

Just wondering if anyone can confirm my reasoning here. Thanks.

 

[EnumaElish]

Correct.

 

[ja404]

Thank you, that's all I need. Mods can close.