朝陽科技大學 097學年度第2學期教學大綱
Probabilities and Statistics 機率與統計

當期課號 2667 Course Number 2667
授課教師 謝富雄 Instructor HSIEH,FU SHIUNG
中文課名 機率與統計 Course Name Probabilities and Statistics
開課單位 資訊工程系(四日)二C Department  
修習別 必修 Required/Elective Required
學分數 3 Credits 3
課程目標 本課程主要介紹基本機率觀念及隨機變數函數,其主要涵蓋的範圍有:
1. 簡介
2. 基本機率
3. 單一隨機變數
4. 隨機變數函數
5. 雙隨機變數
6. 函數及期望值
7. 特徵函數
8. 多隨機變數
Objectives This course gives an introduction to the concepts of parability and the functions of random Variables. Topics to be covered are:
1. Introduction.
2. Basic Probability.
3. A Single Random Variable.
4. Functions of a Random Variable and Expectations.
5. Two Random Variables.
6. Expectations and Functions.
7. Characteristic Function.
8. Multiple Random Variables.
教材   Teaching Materials  
成績評量方式 Test and home work 40%, Midterm exam. 30%, Final exam. 30% Grading Test and home work 40%, Midterm exam. 30%, Final exam. 30%
教師網頁 http://www.cyut.edu.tw/~fshsieh/
教學內容 1. Introduction to Probability Theory
2. Set definition and operations
3. Probability introduced through sets and relative frequency
4. Joint and Conditional Probability
5. Independent
6. Random Variables
7. Distribution Function
8. Density Function
9. Gaussian Random Variables
10.Conditional Distribution and Density Functions
11. Expectation
12. Moments
13. Transformation of a Random Variable
14. Multiple Random Variables
15. Joint Distribution and Its Properties
16. Joint Density and Its Properties
18. Conditional Distribution and Density
Syllabus 1. Introduction to Probability Theory
2. Set definition and operations
3. Probability introduced through sets and relative frequency
4. Joint and Conditional Probability
5. Independent
6. Random Variables
7. Distribution Function
8. Density Function
9. Gaussian Random Variables
10.Conditional Distribution and Density Functions
11. Expectation
12. Moments
13. Transformation of a Random Variable
14. Multiple Random Variables
15. Joint Distribution and Its Properties
16. Joint Density and Its Properties
18. Conditional Distribution and Density
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