  A simple model for open quantum systems is analyzed with Random Matrix
Theory. The system is coupled to the continuum in a minimal way. In this paper
we see the effect of opening the system on the level statistics, in particular
the $\Delta_3(L)$ statistic, width distribution and level spacing are examined
as a function of the strength of this coupling. A super-radiant transition is
observed, and it is seen that as it is formed, the level spacing and
$\Delta_3(L)$ statistic exhibit the signatures of missed levels.
