  Kondo screening of diluted magnetic impurities in a disordered host is
studied analytically and numerically in one, two and three dimensions. It is
shown that in the T_K \to 0 limit the distribution of Kondo temperatures has a
universal form, P(T_K) \sim T_K^{-\alpha} that holds in the insulating phase
and persists in the metallic phase close to the metal insulator transition.
Moreover, the exponent \alpha depends only on the dimensionality. The most
important consequence of this result is that the T-dependence of thermodynamic
properties is smooth across the metal-insulator transition in three dimensional
systems.
