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	329889	機率與統計	1	3.0	3	▲	蕭榮修	訓四子三	48	0

教學大綱與進度：

教師姓名	蕭榮修
Email	rshsiao@ntut.edu.tw
最後更新時間	2024-05-15 18:26:19
課程大綱	This course introduces students to probability, random variables and fundamental statistics. Topics include fundamental probability theory, random variables, distribution functions, Bernoulli, binomial, negative binomial, geometric, hypergeometric, and Poisson distributions. The other continuous topics covered are uniform, exponential, normal, gamma and beta distributions; joint distributions; properties of expectation, central limit theorem, Chebyshev inequality, and law of large numbers; fundamental statistics.
課程進度	1. Introduction and Review of Set Theory 2. Combinatorial Analysis 3. Axioms of Probability 4. Conditional Probability and Independence 5. Random Variables, Expected Value, and Variance 6. Discrete Random Variables - I 7. Discrete Random Variables - II 8. Discrete Random Variables - III 9. Mid-term Exam 10. Continuous Random Variables -I 11. Continuous Random Variables -II 12. Jointly Distributed Random Variables - I 13. Jointly Distributed Random Variables - II 14. Properties of Expectation 15. Limit Theorems 16. Final Exam 17. 自主學習 18. 自主學習
評量方式與標準	Attendance 10% Assignments & Quizzes 30% Mid-term Exam 30% Final Exam 30%
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：是 1. A First Course in Probability, Sheldon Ross, 8th ed., Pearson Prentice Hall, 2009. ISBN: 9780136033134. 2. Probability & Statistics for Engineers & Scientists, Walpole, Myers, Myers, Ye, 9th ed., Pearson Prentice Hall, ISBN：9781292161365. 3. Probability and Statistics for Engineering & Sciences, Jay L. Devore, 9th ed., Thomson, Brooks/Cole, ISBN：0-534-39933-9 4. An Introduction to Mathematical Statistics and Its Applications , Richard J. Larsen & Morris L. Marx, 5th ed., Prentice Hall, 2012.
課程諮詢管道	rshsiao@ntut.edu.tw
課程對應SDGs指標
備註	第17、18週自主學習，完成Homework. 6/22日前繳交Homework.