For a 2D Normal distribution $N(0, \left[ \begin{array}{cc} 1 & -1/4 \\ -1/4 & 1 \end{array} \right])$, I am now trying to maximize its density function over $\{ x\geq 10, y \geq 10 \}$.
My intuition is that the optimal solution is $(10,10)$. My problem is that I am not sure which way to find the optimal solution.
Thanks!