  The properties of a dilute Bose gas with the non-Gaussian quenched disorder
are analysed. Being more specific we have considered a system of bosons
immersed in the classical bath consisting of the non-interacting particles with
infinite mass. Making use of perturbation theory up to second order we have
studied the impact of environment on the ground-state thermodynamic and
superfluid characteristics of the Bose component.
