Date of Award
Master of Science
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.
A. D. Stewart
H. G. Hendricks
Prairie View A&M College
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Date of Digitization
John B Coleman Library
City of Publication
Love, G. L. (1970). An Interesting Relation Between the Binomial and Normal Functions. Retrieved from https://digitalcommons.pvamu.edu/pvamu-theses/1334