Instructor: Dr. Wenbin Lu (email: lu@stat.ncsu.edu)
Lectures: M, W 3:004:15pm, 301 Mann Hall.
Office Hour: M, W 1:002:00pm, 5212 SAS
Hall (or by appointment)
Syllabus: st421fall2017
Grade Book: http://courses.ncsu.edu/st421
TA: Wenli Shi (email: wshi4@ncsu.edu)
Office Hour: T 4:305:30pm & TH 2:003:00pm
Textbooks: Mathematical Statistics with Applications, 7th Edition by
Wackerly, Mendenhall, and Schaeffer
Descriptions: This course is the first part of a twocourse sequence,
ST421422. The main objective is to present techniques and basic results of
probability and mathematical statistics at a rigorous but not advanced level.
ST421 covers probabilistic models for and properties of random variables and
vectors, common probability distributions, and large sample results. Students
taking this course will have completed three semesters of calculus and had some
exposure to basic probability and statistics.
Content: Probability basics; Probabilistic models for discrete
random variables; Probabilistic models for continuous random variables;
Probabilistic models for multivariate random variables; Transforming and combining
random variables.
Course Schedule 

Week 1: 08/16 

Week 2: 08/21 

Week 2: 08/23 
Lecture 3: Theory of
probability 

Week 3: 08/28 
Lecture 4: Theory of
probability 

Week 3: 08/30 


Week 4: 09/04 
Holiday (Labor
Day), no class 

Week 4: 09/06 
Lecture 6: Theory of
probability 

Week 5: 09/11 
Lecture 7: Discrete random
variables and distributions (HW 4) Sol. 

Week 5: 09/13 
Lecture 8: Discrete random
variables and distributions 

Week 6: 09/18 
Midterm #1,
09/18/2017 (Monday), in class 
Sol. 
Week 6: 09/20 
Lecture 9: Discrete random
variables and distributions 

Week 7: 09/25 
Lecture 10: Discrete random
variables and distributions (HW 5) 
Sol. 
Week 7: 09/27 
Lecture 11: Discrete random
variables and distributions 

Week 8: 10/02 
Lecture 12: Continuous
random variables and distributions (HW 6) 

Week 8: 10/04 
Lecture 13: Continuous
random variables and distributions Sol. 

Week 9: 10/09 
Lecture 14: Continuous
random variables and distributions (HW 7) 

Week 9: 10/11 
Lecture 15: Continuous
random variables and distributions Sol. 

Week 10: 10/16 
Lecture 16: Continuous
random variables and distributions (HW 8) 
Sol. 
Week 10: 10/18 
Lecture 17: Multivariate
probability distributions 

Week 11: 10/23 
Midterm #2,
10/23/2017 (Monday), in class 

Week 11: 10/25 
Lecture 18: Multivariate
probability distributions 

Week 12: 10/30 
Lecture 19: Multivariate
probability distributions (HW 9) Sol. 

Week 12: 11/01 
Lecture
20: Multivariate probability distributions 

Week 13: 11/06 
Lecture 21: Multivariate
probability distributions (HW 10) Sol. 

Week 13: 11/08 
Lecture 22: Functions of
random variables 

Week 14: 11/13 

Week 14: 11/15 
Lecture 24: Functions of
random variables 

Week 15: 11/20 

Week 15: 11/22 
Holiday
(Thanksgiving), no class 

Week 16: 11/27 
Lecture 26: review of final
exam 

Week 16: 11/29 
no lecture: questions answering 

Final Exam 
December 11th, Monday,
1:004:00pm 

Calculus formula
sheet Standard normal table