# If X and Y are uncorrelated variables, what is Var(X+Y) in terms of Var(X) and Var(Y)?

##### 1 Answer
Oct 29, 2015

If they are uncorrelated , then X and Y must be independent variables.

#### Explanation:

Independent variables have zero correlation , so this will result in:

$V a r \left(X + Y\right) = V a r \left(X\right) + V a r \left(Y\right)$

hope that helps