  A numerical study of the statistics of transmission ($t$) and reflection
($r$) of quasi-particles from a one-dimensional disordered lasing or amplifying
medium is presented. The amplification is introduced via a uniform imaginary
part in the site energies in the disordered segment of the single-band tight
binding model. It is shown that $t$ is a non-self-averaging quantity. The
cross-over length scale above which the amplification suppresses the
transmittance is studied as a function of amplification strength. A new
cross-over length scale is introduced in the regime of strong disorder and weak
amplification. The stationary distribution of the backscattered reflection
coefficient is shown to differ qualitatively from the earlier analytical
results obtained within the random phase approximation.
