de Moivre-Laplace TheoremThe sum of those terms of the Binomial Series of for which the number of successes falls between and is approximately
 | (1) |
where
Uspensky (1937) has shown that
 | (5) |
where
 | (6) |
for .
A Corollary states that the probability that successes in trials will differ from the expected value by more than is
 | (7) |
where
 | (8) |
Uspensky (1937) showed that
where
and
 | (13) |
for . References
Uspensky, J. V. Introduction to Mathematical Probability. New York: McGraw-Hill, 1937.
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