#### Date of Award

8-1970

#### Document Type

Thesis

#### Degree Name

Master of Science

#### Degree Discipline

Mathematics

#### Abstract

Some experiments are composed of repetition of independent trials, denoted by n, each with two possible outcomes. The binomial probability distribution may describe the variation that occurs from one set of trials of such a binomial experiment to another. The formula for the binomial provides an adequate approximation providing n is small. For large n, this distribution function can be quite laborious to work with. However, when n is large, the binomial distribution can be adjusted so that it is closely approximated by the standard normal distribution. Although the formula for the standard normal distribution looks a bit unfriendly, bristling as it does with roots, exponents, and transendental numbers likeπ and e, these are not important features. For our purposes, the important features are that tables of the normal are widely available, and that the transition from a binomial probability problem to a normal probability problem is easy to make once one knows how.

#### Committee Chair/Advisor

A. D. Stewart

#### Committee Member

Evelyn Thornton

#### Committee Member

Clyde Christopher

#### Committee Member

Waymon Webster

#### Committee Member

H. G. Hendricks

#### Publisher

Prairie View A&M College

#### Rights

© 2021 Prairie View A & M UniversityThis work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

#### Date of Digitization

3-16-2022

#### Contributing Institution

John B Coleman Library

#### City of Publication

Prairie View

#### MIME Type

Application/PDF

#### Recommended Citation

Love, G. L. (1970). An Interesting Relation Between the Binomial and Normal Functions. Retrieved from https://digitalcommons.pvamu.edu/pvamu-theses/1334