A Computer Program for Exact Reliability and Confidence Using the Hypergeometric Probability Distribution

摘要

The hypergeometric probability distribution can easily be utilized -- even by computers of desktop size -- if the method in this report is used. The first term of the distribution has been simplified and a recursive method is used for the other terms. At Picatinny Arsenal, the potentials of this computer program are the following: Exact reliability and confidence for lots and stockpiles of ammunition; Revision of specification and acceptance test procedures; Changes in sample sizes; A restatement of reliability levels; and, Drawing the exact operating characteristics curves by computer. Off-Arsenal potentials of this computer program include the following: Quality control work; Sampling of the population such as done by the Bureau of the Census or in private opinion polls; and, Obsoleting approximate statistical methods where minimum-capacity computers are available. (Author)