Two investments X and Y gives returns as follows (expectation and variance):

E(X)=0.6 and E(Y)=0.5; V(X)=1, V(Y)=2.

The correlation between X and Y is (x,y)=0.5

a) Find the expectation and variance for the "combined" investments

U=X+Y,W=2Y.

b) find the correlation between U and W: First find V(U+W)