ABSTRACT

This chapter develops some applications using the Poisson table. Many authorities show Poisson distributions as continuous curves. One of the oldest applications of Poisson’s law involves the ability to find the np' value (or average) and the standard deviations for any system of events that randomly occur. Simeon D. Poisson himself published a paper showing how his distribution could predict by how much the percentage of people escaping capital punishment would increase after 1830. Another bootstrap application for the cumulative Poisson distribution has to do with single-sample plans. Whenever statistical sampling is used for the inspection of incoming or production lots, it is usually done with some sort of a sampling plan. Tightened sampling means that no matter how poor the incoming lot quality, on the average, the quality of the lots after sampling will be as good as or better than the prescribed AQL.