  We investigate a random normal matrix model with eigenvalues forced to be in
the droplet, the support of the equilibrium measure associated with an external
field. For radially symmetric external fields, we show that the fluctuations of
the spectral radius around a hard edge tend to follow an exponential
distribution as the number of eigenvalues tends to infinity. As a corollary, we
obtain the order statistics of the moduli of eigenvalues.
