  This paper aims to analyze the stochastic performance of a multiple input
multiple output (MIMO) integrated sensing and communication (ISAC) system in a
downlink scenario, where a base station (BS) transmits a dual-functional
radar-communication (DFRC) signal matrix, serving the purpose of transmitting
communication data to the user while simultaneously sensing the angular
location of a target. The channel between the BS and the user is modeled as a
random channel with Rayleigh fading distribution, and the azimuth angle of the
target is assumed to follow a uniform distribution. Due to the randomness
inherent in the network, the challenge is to consider suitable performance
metrics for this randomness. To address this issue, for users, we employ the
user's rate outage probability (OP) and ergodic rate, while for target, we
propose using the OP of the Cram\'er-Rao lower bound (CRLB) for the angle of
arrival and the ergodic CRLB. We have obtained the expressions of these metrics
for scenarios where the BS employs two different beamforming methods. Our
approach to deriving these metrics involves computing the probability density
function (PDF) of the signal-to-noise ratio for users and the CRLB for the
target. We have demonstrated that the central limit theorem provides a viable
approach for deriving these PDFs. In our numerical results, we demonstrate the
trade-off between sensing and communication (S \& C) by characterizing the
region of S \& C metrics and by obtaining the Pareto optimal boundary points,
confirmed with simulations.
