I'm given two variables $\begin{bmatrix} X_{1}\\{X_2} \end{bmatrix} \sim N_2({\mu}=\begin{bmatrix} 2\\-5\end{bmatrix},\Sigma = \begin{bmatrix} 1&{-0.5}\\{-0.5}&4 \end{bmatrix})$
How would I calculate $P(X_1 > 0)$?
My only thoughts are to calculate the marginal distribution of $X_1$ and $X_2$, if I want to find anything about the probabilities of these variables taking on certain values.
Are there any other methods I can use to find these probabilities?