### About

STAT 414 focuses on the theory of introductory probability. The course goals are:

- To learn the theorems of basic probability.
- To learn applications and methods of basic probability.
- To develop theoretical problem-solving skills.

### Course Topics

Probability spaces, discrete and continuous random variables, transformations, expectations, generating functions, conditional distributions, law of large numbers, central limit theorems.

### Course Author(s)

Dr. Laura Simon is the primary author of the materials for this course and has taught this course in residence several semesters.

**Other Course Content Contributors** include: Dr. Murali Haran, Dr. Damla Senturk and Dr. Tracey Hammel.

### Software

Students must have immediate access to a printer/scanner in order to scan hand written assignments into .pdf documents and upload them into Canvas.

* * This course uses Examity for proctored exams. For more information view O.3 What is a proctored exam? in the student orientation.

### Textbook

Hogg, R.V., and Tanis, E.A. (2020).* Probability and Statistical Inference*, 10th Edition, Pearson. (We will primarily cover chapters 1-5.)

**Note:** This is NOT the global edition.

### Prerequisites

The official prerequisites are a standard three course calculus sequence (for example, MATH 140, MATH 141 and MATH 230) and knowledge of Matrix Algebra (see Review) / Linear Algebra (MATH 220). If it has been some time since you’ve studied calculus, you might want to get yourself a good reference and do some quick reviewing. The calculus techniques most frequently used in the course include: differentiation, integration, series, and limits, (See Review). You may be expect to be tested on these foundational concepts and skills at the beginning of the course. Also, MAS students are also strongly encouraged to complete application courses STAT 500 and STAT 501 before taking STAT 414.