Applications of Mathematica 10.3 in Probability Distribution

碩士 === 國立中山大學 === 應用數學系研究所 === 105 === This paper investigates the applications of mathematical symbolic software Mathematica 10.3 in probability distribution. The related basic commands are illustrated. Constructing probability distributions and the calculation of important functions of a random va...

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Bibliographic Details
Main Authors: Pei-Chi Huang, 黃珮綺
Other Authors: Fu-Chuen Chang
Format: Others
Language:zh-TW
Published: 2017
Online Access:http://ndltd.ncl.edu.tw/handle/76uv65
Description
Summary:碩士 === 國立中山大學 === 應用數學系研究所 === 105 === This paper investigates the applications of mathematical symbolic software Mathematica 10.3 in probability distribution. The related basic commands are illustrated. Constructing probability distributions and the calculation of important functions of a random variable are covered in details. The 2D graphs of data and the 2D and 3D graphs of probability distributions are also discussed. The important probability theorems (Law of Large Number, Central Limit Theorem, Asymptotic Properties of Distributions) are illustrated using dynamic interactivity. It will facilitate the lecturer for teaching probability and enhance the effective learning of probability for students.