ABSTRACT
We begin with the observation that any finite probability distribution is a partition of unity. For example, for p+q = 1, the binomial distribution may be obtained from the binomial expansion
1 = (p + q)n
= ( n
) pn +
( n
) pn−1 q +
( n
) pn−2 q2 + · · · +
( n
n
) qn .