Development of Visual Aid Materials in Teaching the Bivariate Normal Distributions

摘要

We have evaluated the orthant probabilities (i.e., all components are positive) and the upper probabilities of bivariate normal distributions by using Scilab software. The calculated values are presented here in a tabular form. They may be used as a teaching aid material in statistics courses at colleges. We have explained the orthant and upper probabilities using 3D diagrams as a visual aid teaching material in the present work. Moreover, we have evaluated probabilities for more generalized domains by using Scilab software.