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.
Probability spaces, discrete and continuous random variables, transformations, expectations, generating functions, conditional distributions, law of large numbers, central limit theorems.
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.
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.
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.
Quizzes - 10
Exams - 5
PLEASE NOTE: This course may require you to take exams using certain proctoring software that uses your computer’s webcam or other technology to monitor and/or record your activity during exams. The proctoring software may be listening to you, monitoring your computer screen, viewing you and your surroundings, recording and storing any and all activity (including visual and audio recordings) during the proctoring process. By enrolling in this course, you consent to the use of the proctoring software selected by your instructor, including but not limited to any audio and/or visual monitoring which may be recorded. Please contact your instructor with any questions. (Read more...)
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.