Thank you very much, Ray !

You mentioned Pearson's result. Could you post 
a pointer to a book/paper which I can use and cite. 
It is likely that I can not find the original from 1901,
but any recent discussion of his or related result would do.

Also, correct me if I'm wrong, but I think, 
if N -> infinity, then P -> 1 (for any K=2,3,4,...), given that p>q,
and P -> 0, if p<q.

Thank you again.
.
.
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