I have the following normal distribution that all of the parameter are known $$\begin{pmatrix} X_1\\ X_2\\ \end{pmatrix} \sim N\left[\begin{pmatrix} \mu_1 \\ \mu_2 \\ \end{pmatrix},\begin{pmatrix}\sigma^2 & \rho \\ \rho & \sigma^2\\\end{pmatrix} \right]$$
$1.$ $\Bbb P(X_1\le\mu_2) = \phi(\frac{\mu_2 - \mu_1}{\sigma})$ is that correct?
$2.$ How do I calculate $\Bbb P(X_1< X_2)$