Use of inequalities for the experimental test of a general conception of the foundations of microphysics. II

Some aspects of a previous article bearing the same title---hereafter referred to as I---are further developed and clarified. For reasons explained in the text, a variant of the set of assumptions used in I is also introduced. The Bell inequalities are shown to follow from that new set of assumptions as well. The derivation does not appeal to the concept of a density of probability in a supplementary variables space, and it is basically independent of the other modes of derivation of the same inequalities. Illustrations by means of model theories are given.