de Moivre-Laplace Theorem
The sum of those terms of the Binomial Series of 
for which the number of successes 
falls between 
and 
is approximately
 | (1) |
 |  |  | (2) |
 | |  | (3) |
 | |  | (4) |
Uspensky (1937) has shown that
 | (5) |
 | (6) |
.A Corollary states that the probability that successes in 
trials will differ from the expected value 
by more than 
is
 | (7) |
 | (8) |
 | |  | |
 |  | (9) |
where
 | |  | (10) |
 | |  | (11) |
 | |  | (12) |
and
 | (13) |
.
References
Uspensky, J. V. Introduction to Mathematical Probability. New York: McGraw-Hill, 1937.
- Twist Number
- Twist-Spun Knot
- Two
- Two-Ears Theorem
- Two-Point Distance
- Two Triangle Theorem
- Tychonof Compactness Theorem
- Type
- Type I Error
- Type II Error
- Ulam Map
- Ulam Number
- Ulam Sequence
- Ulam's Problem
- Ultrametric
- Ultraradical
- Ultraspherical Differential Equation
- Ultraspherical Function
- Ultraspherical Polynomial
- Umbilic Point
- Umbral Calculus
- Umbrella
- Unambiguous
- Unbiased
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