  The problem of the steady-state velocity distribution in a driven inelastic
Maxwell model of shaken granular material is revisited. Numerical solution of
the master equation and analytical arguments show that the model has bilateral
exponential velocity tails ($P(v)\sim e^{-|v|/\sqrt D}$), where $D$ is the
amplitude of the noise. Previous study of this model predicted Gaussian tails
($P(v)\sim e^{-av^2}$).
