STAT 541 Probability

The course introduces the basic concepts and methods of probability. Topics include: set notation and operations, properties of probability, expectation, and discrete and continuous probability distributions of a single random variable.

For information regarding prerequisites for this course, please refer to the Academic Course Catalog.

Course Guide

View this course’s outcomes, policies, schedule, and more.*

*The information contained in our Course Guides is provided as a sample. Specific course curriculum and requirements for each course are provided by individual instructors each semester. Students should not use Course Guides to find and complete assignments, class prerequisites, or order books.


An important component of the field of mathematics is the ability to handle uncertainty. Very little in life is certain, and having a methodical and objective approach to such situations allows solutions to problems that would otherwise go unsolved. Probability is the subject specifically targeted to handling uncertainty. This course explores the key concepts of single variable probability and its importance to the field of statistics.


Textbook readings and lecture presentations

No details available.

After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in the Course Overview.

Using WebAssign, the student will complete Homework Assignments in this course. There will be a set of questions assigned for each Homework Assignment. 

For this assignment, the student will film a video presentation of the results of the his or her analysis of specific statistic problems as outlined in Canvas. The presentation must address all of the numbered questions in Canvas. The presentation should be professional in nature. The use of PowerPoint is strongly encouraged (with information from Excel pasted in as needed). The length of the video presentation is not as important as the content, but it would seem that a minimum of ten minutes would be necessary to adequately cover these topics in a sufficient manner. The student’s face must be seen during the entire presentation. One effective tool to accomplish displaying both the student’s face and the slides in a single video is Microsoft Teams. Teams should automatically arrange everything nicely, provided the screen is shared and the webcam is on. Another option is Kaltura, which is free for LUO students.

Using WebAssign, the student will complete 1 quiz in this course. The quiz will be open-book/open-notes and will contain multiple-choice and short answer questions. The quiz may be taken up to 2 times.

The student will complete 2 open-book/open-notes exams throughout the course in WebAssign. Exams are based on the Learn material and Homework Assignments. Exams are timed and are expected to be completed in one sitting.

NOTE: The student must submit written work for all exam and final exam questions. Any exams or final exams submitted without written work will not be accepted.

Written work means that the student records the work needed to answer each exam question on paper. The student should number the work for each question as he or she works through the exam so that his or her instructor can easily tell what work goes with each question. After the student submits the exam, he or she will either scan or take cell phone photos of the written work and then upload them through the submission link.


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