A description of continuous probability distributions by means of infl
uence and weight functions of distribution has been developed. The app
licability of the new concepts is briefly discussed. It is shown that
in the case of special probability distribution these functions corres
pond to ''irrelevance'' and ''fidelity'' of the gnostical theory intro
duced in [10]. Gnostical model of uncertainty, claimed by its author t
o be independent of probabilistic concepts in [12-13], can be thus rep
laced by a special case of the classical probabilistic model.