教學大綱表 (113學年度 第1學期)
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課程名稱
Course Title		 (中文) 機率與統計
(英文) Probability And Statistics 		開課單位
Departments		 資訊工程學系
課程代碼
Course No.		 I2620A
授課教師
Instructor		 蔡佳勝
學分數
Credit		 3.0 必/選修
core required/optional		 必修 開課年級
Level		 大三
先修科目或先備能力(Course Pre-requisites)：基本微積分概念
課程概述與目標(Course Overview and Goals)：教授機率與統計之基本原理、相關理論與應用
教科書(Textbook) R. E. Walpole, R. H. Myers, S. L. Myers, and K. Ye, "PROBABILITY & STATISTICS FOR ENGINEERS & SCIENTISTS," Pearson Education, Inc.
參考教材(Reference) Hoel, Port, and Stone, Introduction to probability theory, Cengage Learning
課程大綱 Syllabus 學生學習目標
Learning Objectives		 單元學習活動
Learning Activities		 學習成效評量
Evaluation		 備註
Notes
序
No.		 單元主題
Unit topic		 內容綱要
Content summary
1 Introduction to Statistics and Data Analysis 1. Statistical Inference, Samples, Populations.
2. The Role of Probability
3. Measures of Variability 		1. Statistical Inference, Samples, Populations.
2. The Role of Probability
3. Measures of Variability		  
2 Probability 1. Sample Space
2. Events
3. Counting Sample Points
4. Probability of an Event
5. Additive Rules
6. Conditional Probability
7. Multiplicative Rules
8. Bayes' Rule 		1. Sample Space
2. Events
3. Counting Sample Points
4. Probability of an Event
5. Additive Rules
6. Conditional Probability
7. Multiplicative Rules
8. Bayes' Rule		  
3 Probability 1. Sample Space
2. Events
3. Counting Sample Points
4. Probability of an Event
5. Additive Rules
6. Conditional Probability
7. Multiplicative Rules
8. Bayes' Rule 		1. Sample Space
2. Events
3. Counting Sample Points
4. Probability of an Event
5. Additive Rules
6. Conditional Probability
7. Multiplicative Rules
8. Bayes' Rule		  
4 Probability 1. Sample Space
2. Events
3. Counting Sample Points
4. Probability of an Event
5. Additive Rules
6. Conditional Probability
7. Multiplicative Rules
8. Bayes' Rule 		1. Sample Space
2. Events
3. Counting Sample Points
4. Probability of an Event
5. Additive Rules
6. Conditional Probability
7. Multiplicative Rules
8. Bayes' Rule		  
5 Random Variables and Probability Distributions 1. Concept of a Random Variable
2. Discrete Probability Distributions
3. Continuous Probability Distributions
4. Joint Probability Distributions 		1. Concept of a Random Variable
2. Discrete Probability Distributions
3. Continuous Probability Distributions
4. Joint Probability Distributions		  
6 Random Variables and Probability Distributions 1. Concept of a Random Variable
2. Discrete Probability Distributions
3. Continuous Probability Distributions
4. Joint Probability Distributions 		1. Concept of a Random Variable
2. Discrete Probability Distributions
3. Continuous Probability Distributions
4. Joint Probability Distributions		  
7 Random Variables and Probability Distributions 1. Concept of a Random Variable
2. Discrete Probability Distributions
3. Continuous Probability Distributions
4. Joint Probability Distributions 		1. Concept of a Random Variable
2. Discrete Probability Distributions
3. Continuous Probability Distributions
4. Joint Probability Distributions		  
8 Mathematical Expectation 1. Mean of a Random Variable
2. Variance and Covariance of Random Variables
3. Means and Variances of Linear Combinations of Random Variables
4. Chebyshev's Theorem 		1. Mean of a Random Variable
2. Variance and Covariance of Random Variables
3. Means and Variances of Linear Combinations of Random Variables
4. Chebyshev's Theorem		  
9 midterm midterm midterm  
10 Mathematical Expectation 1. Mean of a Random Variable
2. Variance and Covariance of Random Variables
3. Means and Variances of Linear Combinations of Random Variables
4. Chebyshev's Theorem 		1. Mean of a Random Variable
2. Variance and Covariance of Random Variables
3. Means and Variances of Linear Combinations of Random Variables
4. Chebyshev's Theorem		  
11 Some Discrete Probability Distributions 1. Discrete Uniform Distribution
2. Binomial and Multinomial Distributions
3. Hypergeometric Distribution
4. Negative Binomial and Geometric Distributions
5. Poisson Distribution and the Poisson Process 		1. Discrete Uniform Distribution
2. Binomial and Multinomial Distributions
3. Hypergeometric Distribution
4. Negative Binomial and Geometric Distributions
5. Poisson Distribution and the Poisson Process		  
12 Some Discrete Probability Distributions 1. Discrete Uniform Distribution
2. Binomial and Multinomial Distributions
3. Hypergeometric Distribution
4. Negative Binomial and Geometric Distributions
5. Poisson Distribution and the Poisson Process 		1. Discrete Uniform Distribution
2. Binomial and Multinomial Distributions
3. Hypergeometric Distribution
4. Negative Binomial and Geometric Distributions
5. Poisson Distribution and the Poisson Process		  
13 Some Continuous Probability Distributions 1. Continuous Uniform Distribution
2. Normal Distribution
3. Applications of the Normal Distribution
4. Normal Approximation to the Binomial
5. Gamma and Exponential Distributions
6. Chi-Squared Distribution 		1. Continuous Uniform Distribution
2. Normal Distribution
3. Applications of the Normal Distribution
4. Normal Approximation to the Binomial
5. Gamma and Exponential Distributions
6. Chi-Squared Distribution		  
14 Some Continuous Probability Distributions 1. Continuous Uniform Distribution
2. Normal Distribution
3. Applications of the Normal Distribution
4. Normal Approximation to the Binomial
5. Gamma and Exponential Distributions
6. Chi-Squared Distribution 		1. Continuous Uniform Distribution
2. Normal Distribution
3. Applications of the Normal Distribution
4. Normal Approximation to the Binomial
5. Gamma and Exponential Distributions
6. Chi-Squared Distribution		  
15 Functions of Random Variables 1. Introduction
2. Transformations of Variables
3. Moments and Moment-Generating Functions 		1. Introduction
2. Transformations of Variables
3. Moments and Moment-Generating Functions		  
16 final exam final exam final exam  
17 彈性教學 Alternative Curriculum 彈性教學 Alternative Curriculum 彈性教學 Alternative Curriculum  
18 彈性教學 Alternative Curriculum 彈性教學 Alternative Curriculum 彈性教學 Alternative Curriculum  
彈性教學週活動規劃
序
No.		 實施期間
Period		 實施方式
Content		 教學說明
Teaching instructions		 彈性教學評量方式
Evaluation		 備註
Notes
1 起:2023-11-02 迄:2024-01-15 6.其他 Others 同步+非同步 以仿翻轉教學和問題導向的模式，瞭解同學學習思考的方法。 整體報告佔10%


教學要點概述：
1.自編教材 Handout by Instructor：
□ 1-1.簡報 Slids
□ 1-2.影音教材 Videos
□ 1-3.教具 Teaching Aids
■ 1-4.教科書 Textbook
□ 1-5.其他 Other
□ 2.自編評量工具/量表 Educational Assessment
□ 3.教科書作者提供 Textbook

成績考核 Performance Evaluation： 期末考：25%   期中考：25%   其他評量：25%   彈性教學：10%   平時考：15%  

教學資源(Teaching Resources)：
□ 教材電子檔(Soft Copy of the Handout or the Textbook)
□ 課程網站(Website)
扣考規定：https://curri.ttu.edu.tw/p/412-1033-1254.php