  We consider the scattering of electron by a one-dimensional random potential
(both passive and active medium) and numerically obtain the probability
distribution of Wigner delay time ($\tau$). We show that in a passive medium
our probability distribution agrees with the earlier analytical results based
on random phase approximation. We have extended our study to the strong
disorder limit, where random phase approximation breaks down. The delay time
distribution exhibits the long time tail ($1/\tau^2$) due to resonant states,
which is independent of the nature of disorder indicating the universality of
the tail of the delay time distribution. In the presence of coherent absorption
(active medium) we show that the long time tail is suppressed exponentially due
to the fact that the particles whose trajectories traverse long distances in
the medium are absorbed and are unlikely to be reflected.
