MAPLE Integrated Into the Instruction

of Probability and Statistics

Elliot A.Tanis

Department of Mathematics
Hope College
Holland, MI 49422-9000

USA

tanis@hope.edu

http://www.math.hope.edu/tanis

Abstract

You can use a Computer Algebra System (CAS) such as MAPLE to enhance instruction in probability and statistics. Change parameters of various probability models to illustrate graphically their significance. Make figures that are static in a book come alive using animation. Use the integration or summation capabilities of a CAS to solve interesting problems. Simulate random phenomena to illustrate theoretical concepts. Let a CAS find and graph the p.d.f.'s of order statistics. Use a CAS to simulate the first m(only) out of norder statistics. Involve the students.

Introduction

Examples

Summation Examples

Integration Examples

Animation Examples

Distribution Theory

Sums of Discrete Random Variables

Sums of Continuous Random Variables

Central Limit Theorem

Order Statistics

MAPLE Procedures