Fall 2025 updated 091225
Announcement (check the hot item(s))
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100125 Quiz 1 is scheduled on Oct.15.
091225 Tge classroom is moved to EE203.
090125 Welcome!
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Course Info
Lecturer: Prof. Shun-Pin Hsu (許舜斌)
Meeting: Mon.-Fri. 2:10-5pm
Place: EE 203
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 Oct. 15 (WED.) Ch.1-2
Quiz 2 Oct. 29 (WED.) Ch.3-4
Quiz 3 TBD Ch.5-6
Quiz 4 Dec. 24 Ch.7-8
Midterm: Oct. 30 (THU) Ch.1-4
Final : Dec. 25 (THU)!!! Ch.5-8
Course Projects
A. titles
1.Bertrand paradox
2.Catalan number
3.Secretary problem
4.Prisoners' problem
B. Rules
1: For every project turned in to TA, every student needs to turns in a 3-min video AND up to 3 pages (A4 size) to show your work (including problem description, theoretic analysis, and numerical verification).
2: The due days for the first two projects are Oct. 12 and for projects 3&4: Nov. 23.
NO LATE PROJECTS WILL BE ACCEPTED!!!