機率

臺北科技大學 115-1 學期課程，課號 362233。

課程大綱

機率空間；組合分析；聯合分佈隨機變數；動差函數及特徵函數；大數法則及中央極限定理。 This course is designed for students to get concepts and methods of Probability and Statistics.

課程進度

[重要] 因授課教師開學第一週有重要會議需參加，故本課程將於第二週(115/09/14)正式上課。第一週之補課事宜會在課堂上告知修課同學。 [Important Notice] Due to an important meeting that the instructor must attend during the first week of the semester, this course will officially begin in the second week (September 14, 2026). Arrangements for the make-up class for the first week will be announced to enrolled students during class. Week 2-4 Sample space and probability - Sets - Probabilistic Models - Conditional Probability - Total Probability Theorem and Bayes’ Rule - Independence - Counting Week 5-8 Discrete random variables - Basic Concepts - Probability Mass Functions - Functions of Random Variables - Expectation, Mean, and Variance - Joint PMFs of Multiple Random Variables - Conditioning - Independence Week 9-14 General Random Variables: - Continuous Random Variables and PDFs - Cumulative Distribution Functions - Normal Random Variables - Joint PDFs of Multiple Random Variables - Conditioning - Independence Week 15-16 Selected further topics (課程內容與授課進度將視實際授課情況與學習狀況滾動式調整)

評量方式

Midterm: 35% Final exam: 35% Assignments & Class participation: 30%

教材

【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 D. P. Bertsekas and J. N. Tsitsiklis, “Introduction to Probability,”2nd Edition, Athena Scientific Inc., 2008