Fall 2025 updated 090125
Announcement (check the hot item(s))
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090125 Welcome
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Course Info
Lecturer: Prof. Shun-Pin Hsu (許舜斌)
Meeting: Mon.-Fri. 2:10-5pm
Place: EE202
Texabook:
A First Course in Probability, 10th edition hot!!(Global edition)hot!!,
by Sheldon Ross, Pearson Education, Inc.
(台灣代理: 華泰文化: 04-2241-3551)
Office Hour: Mon.-Thu. 1-2pm.@EE712
Email: shsu@nchu.edu.tw
Tel: 04-2285-1549 ext 712
Teaching Assistant office: EE 611A
方奕祥 g114064043@mail.nchu.edu.tw
Lecture Contents
1. Fundamental (ch1, ch2, ch3)
Combinatorial Analysis
Axioms of Probability
Conditional Probability and Independence
2. Random Variables (ch4, ch5, ch6)
Definition
Expectation
Discrete Probability Distributions
Continuous Probability Distributions
Jointly Distributed Random Variables
Properties of Expectation
Variance, Covariance and Correlation
Moment Generating Functions
Inequalities & Weak Law of Large Number
Central Limit Theorem
Strong Law of Large Number
Exercise (Self-Test Problems and Exercise, ver.10)
Ch. 1. 1, 3, 5, 6, 9, 11, 13, 15, 18, 19
Ch. 2. 2, 4, 6, 8, 11, 12, 14, 17, 18, 20
Ch. 3. 2, 4, 6, 7, 10, 12, 14, 15, 17, 19, 21, 25, 27, 29, 31, 34, 35, 37
Ch. 4. 3, 4, 6, 7, 10, 11, 12, 13, 18, 19, 22, 24, 26, 27, 29
Ch. 5. 5, 6, 8, 9, 10, 12, 17, 18, 19, 22
Ch. 6. 3, 4, 8, 14, 15, 16, 17, 18, 20, 26
Ch. 7. 1, 2, 4, 6, 8, 12, 14, 17, 18, 19, 26, 28, 30, 32
Ch. 8. 1, 4, 7, 10, 13, 15
Quiz & Exam RULE
Quiz 1 TBD
Quiz 2 Oct. 29 (WED)
Quiz 3 TBD
Quiz 4 Dec. 24
Midterm: Oct. 30 (THU)
Final : Dec. 25 (THU)?
Course Projects
A. titles
1.Bertrand paradox
2.Catalan number
3.Secretary problem
4.Prisoners' problem
B. Rules
1: Every team can have up to 2 students.
2: For every project, every team turns in a 5-min video AND up to 5 pages (A4 size) to show your work (including problem description, theoretic analysis, and numerical verification).
3: Every team needs to turn in at least two projects before Oct. 5 and all projects before Nov. 10.
NO LATE PROJECTS WILL BE ACCEPTED!!!!!