# Calculate $\ Cov(Y,Y+e^X)$ . Issue with the exponent.

I have a fairly simple question that I'm currently unable to solve.

I have to calculate:

$\ Cov(Y,Y+e^X)$

To get here I've had to calculate:

$\ P_Y(y)$

$\ P_X(x)$

$\ Var(X)$

$\ Var(Y)$

Bonus info: X and Y are independent!

Having solved the above my idea is to calculate $\ Cov(Y,Y+e^X)$, so: