Syllabus: STAT 470, STAT 570.

Instructor: Haiming Zhou.

Email: zhouh@niu.edu.

Office Hours: MWF 1-2pm, and by appointment.

Office: DuSable Hall 359E.

Class Meetings: MWF 10-10:50am, DuSable Hall 474.

Textbook: *Mathematical Statistics with Applications, 7th Edition*, by Wackerly, D., Mendenhall, W., and Scheaffer, R. (2008).

- Chapter 2: Introduction to Probability.
- Chapter 3: Discrete Random Variables and Their Probability Distributions. Here are useful derivative rules.
- Chapter 4: Continuous Random Variables and Their Probability Distributions. Here are useful integration rules.
- Chapter 5: Multivariate Probability Distributions.

- Homework 1: 2.2; 2.5; 2.7; 2.11; 2.18; 2.28; 2.42; 2.43; 2.44; 2.55. It is due in class on Wednesday, 1/31/2018.
*Solution*. - Homework 2: 2.72; 2.76; 2.82; 2.94; 2.100; 2.101; 2.110; 2.116; 2.134; 2.137. It is due in class on Wednesday, 2/7/2018.
*Solution*. - Homework 3: 3.6; 3.12; 3.22; 3.34; 3.37; 3.40; 3.55; 3.58; 3.59; 3.61. It is due in class on Monday, 2/19/2018.
*Solution*. - Homework 4: 3.71; 3.73; 3.74; 3.77; 3.97; 3.108; 3.113; 3.122; 3.125; 3.139. It is due in class on Friday, 3/2/2018.
*Solution*. - Homework 5: 3.145; 3.146; 3.147; 3.153; 3.155; 3.156; 3.157; 3.158; 3.159. It is due in class on Wednesday, 3/21/2018.
*Solution*. - Homework 6: 4.1; 4.12; 4.14; 4.28; 4.47; 4.53; 4.142(a,b); 4.58(a,b,c,d,e); 4.62; 4.74(a,b,c,f). It is due in class on Friday, 3/30/2018.
*Solution*. - Homework 7: 4.81; 4.82; 4.92; 4.94; 4.96(a,b,c); 4.110; 4.106(a); 4.127; 4.133(a,b,c); 4.146. It is due in class on Friday, 4/13/2018.
*Solution*. - Homework 8: 5.4; 5.8(a,c); 5.22; 5.23; 5.26; 5.49; 5.52; 5.76; 5.91. It is due in class on Monday, 4/30/2018.
*Solution*.

- Exam I will be given on Friday (3/9/2018) in class. It covers Sections 2.1-2.10 and 3.1-3.8. Books, notes or device with internet capability are not allowed. Calculator is allowed, but all memory in the calculator must be cleared before this exam. Formula sheet and scratch paper will be provided during the exam. Here is a set of Practice Problems with the Formula Sheet at the end.
*Solution* - Exam II will be given on Friday (4/20/2018) in class. It covers Sections 3.9 and 4.1-4.10. Books, notes or device with internet capability are not allowed. Calculator is allowed, but all memory in the calculator must be cleared before this exam. Formula sheet and scratch paper will be provided during the exam. Here is a set of Practice Problems with the Formula Sheet at the end.
*Solution* - Final Exam will be given on Monday (5/7/2018),
**10:00-11:50AM**in the same classroom. It covers Sections 2.1-2.10, 3.1-3.9, 4.1-4.10 and all Chapter 5 contents covered in lectures. Books, notes or device with internet capability are not allowed. Calculator is allowed, but all memory in the calculator must be cleared before this exam. Formula sheet and scratch paper will be provided during the exam. Here is a set of Practice Problems with the Formula Sheet at the end.*Solution*

- To install R, go to this website: https://www.r-project.org/ and follow the instructions there.
- Chapter 3 R code for calculating probabilities.
- Chapter 4 R code for calculating probabilities.

- Naive Bayes for Dummies: A simple explanation using Bayes' Rule
- St. Petersburg Lottery: a paradox related to probability and decision theory in economics
- Negative Binomial Distribution: the definition with support 0, 1, 2, ....
- Three Views of the Negative Binomial Distribution. (link)