機率與統計

臺北科技大學 114-2 學期課程，課號 358232。

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. No Class (2/28, 國定假日) 2. No Class (3/7, 碩士班筆試停課) 3. Introduction to Probability Theory - I 4. Introduction to Probability Theory - II 5. Random Variables, Expected Value, and Variance 6. No Class (4/4, 國定假日) 7. Discrete Random Variables - I 8. Discrete Random Variables - II, 9. No Class (4/25, 統測考場)，期中考 (take home) 10. 期中考 (in class) 11. Continuous Random Variables -I 12. Continuous Random Variables -II 13. Jointly Distributed Random Variables 14. Properties of Expectation 15. Limit Theorems - I 16. Limit Theorems - II 17. 自主學習與總複習，期末考 (take home) 18. 期末考 (in class)

評量方式

Attendance 10% Assignments & Quizzes 30% Mid-term Exam 30% Final Exam 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 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. 5. Introduction to Probability, D. P. Bertsekas, J. N. Tsitsiklis, Athena Scientific, 2002. ISBN：1-886529-37-X