教學大綱與進度

課程基本資料：

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
112-2	325461	機率與統計	1	3.0	3	★	鄧一中	智動四	21	1

教學大綱與進度：

教師姓名	鄧一中
Email	icdeng@tpcu.edu.tw
最後更新時間	2024-05-15 10:54:42
課程大綱	(1) 機率與統計的基本概念 (2) 機率模型，以及模型之抉擇、驗證、分析 (3) 隨機變數與機率分佈 (4) 期望值與動差 (5) 隨機變數函數 (6) 離散機率分佈、連續機率分佈 (7) 資料觀察與圖形表示 (8) 模型驗證 (9) 線性模組與線性回歸 (1) The basic concepts of probability and statistics. (2) Probability model, as well as choice, verification, analysis of the model. (3) Random Variables and Probability Distribution. (4) Expected value and dynamic difference. (5) Random Variable Functions. (6) Discrete probability distribution, continuous probability distribution. (7) Data observation and Graphical representation. (8) Model validation. (9) Linear modules and Linear regression.
課程進度	W1 (1) Introduction to Statistics and Data Analysis：Sampling Procedures, Sample Mean and Median, Measures of Variability, Discrete and Continuous Data W2 (1) Introduction to Statistics and Data Analysis：Statistical Modeling, Scientific Inspection, and Graphical Diagnostics (2) Probability：Sample Space, Events, Counting Sample Points W3 (2) Probability：Counting Sample Points, Additive Rules, Conditional Probability, Independence Probability, the Product Rule, Bayes’ Rule W4 (2) Probability：Independence Probability, the Product Rule, Bayes’ Rule W5 (3) Random Variables and Probability Distributions：Concept of a Random Variable, Discrete Probability Distributions W6 (3) Random Variables and Probability Distributions：Continuous Probability Distributions, Joint Probability Distributions W7 (4) Mathematical Expectation：Mean of a Random Variable, Variance and Covariance of Random Variables W8 (4) Mathematical Expectation：Means and Variances of Linear Combinations of Random Variables, Chebyshev’s Theorem W9 Midterm Exam W10 (5) Discrete Probability Distributions：Introduction and Motivation，Binomial and Multinomial Distributions, Hypergeometric Distribution W11 (5) Discrete Probability Distributions：Negative Binomial and Geometric Distributions, Poisson Distribution and the Poisson Process W12 (6) Continuous Probability Distributions：Continuous Uniform Distribution, Normal Distribution, Areas under the Normal Curve, Applications of the Normal Distribution W13 (6) Continuous Probability Distributions：Normal Approximation to the Binomial, Gamma and Exponential Distributions, Chi-Squared Distribution, Beta Distribution, Lognormal Distribution W14 (7) Fundamental Sampling Distributions and Data Descriptions：Random Sampling, Some Important Statistics, Sampling Distributions, Sampling Distribution of Means and the Central Limit Theorem W15 (7) Fundamental Sampling Distributions and Data Descriptions：Sampling Distribution of S2, t-Distribution, F-Distribution, Quantile and Probability Plots W16 (8) One- and Two-Sample Estimation Problems：Statistical Inference, Classical Methods of Estimation, Single Sample: Estimating the Mean, Standard Error of a Point Estimate W17 (8) One- and Two-Sample Estimation Problems：Prediction Intervals, Tolerance Limits, Two Samples Estimating, One Samples Estimating W18 Final Exam
評量方式與標準	期中考40%，出席率10%，小考與其他表現10%，期末考40%
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：否 參考probability & statistics for Engineers & Scientistics 9th Edition 自行編寫教材
課程諮詢管道	請用email或Line先行預約 email：icdeng1011@gmail.com Line ID：icdeng
課程對應SDGs指標
備註	對應 SDGs 項目：4. 確保全面、公平及高品質教育，提倡終身學習 線上授課連結(Teams)： https://teams.microsoft.com/l/team/19%3AH3d1vL0HsCZr3q7aIb3NXJph0e5C8UCVwnkGAdCYet01%40thread.tacv2/conversations?groupId=76ce9a4a-11bc-43f4-b7b8-1c78b67575ac&tenantId=94336106-2494-4d8c-8df9-7543328b4aa9