Use of software and Extended Precision of Finney's Table Using Probit Analysis

In stochastic analyses, the use of quintile function is very common. For normal distributions which are observed in many of the phenomena in the nature or in laboratory setting, probit analysis is used for regression-based expression of data which show a binary response. In this context, the table of Finney is much used today. The present paper uses an approximation formula for a related function and modifies it resulting in a formula for extended precision of the Finney table values. Additionally, the author has created a software implementation of the same in the widely popular HTML5 format which can be used in almost any computing environment for greater computational access in a multitude of contexts which involves the table of Finney.