  The quantization scheme in probability theory deals with finding a best
approximation of a given probability distribution by a probability distribution
that is supported on finitely many points. In this paper, first we state and
prove a theorem, and then give a conjecture. We verify the conjecture by a few
examples. Assuming that the conjecture is true, for a set of discrete
distributions on the set of natural numbers we have calculated the optimal sets
of $n$-means and the $n$th quantization errors for all positive integers $n$.
In addition, the quantization dimension is also calculated.
