Introduction to Probability

Course Description

Events and probabilities (sample spaces), dependent and independent events, random variables and probability distribution, expectation, moment generating functions, multivariate normal distribution, sampling distributions.

Syllabus

Student Learning Outcomes, Goals, Objectives:

Students successfully completing this course will be able to:

  • understand the basic concepts of probability and its laws;

  • understand various discrete and continuous probability distributions;

  • be able to compute and interpret probabilities and moments associated with a probability density.

  • understand various sampling distributions;

  • appreciate the significance of Central Limit Theorem and its important role it plays in sampling;

  • apply the concepts and methods in solving real world problems.

Course Grading Information:

Activity/Performance Measure

Percentage/Points

Homework

30%

Midterm 1

20%

Midterm 2

20%

Final Project

30%

Note: The UNCG Graduate School does not permit grades of D for graduate students. Therefore, any grade below 70 will be scored as an F for graduate students.

Grading Scale

Percentage

Letter Grade

93-100

A

90-92

A-

87-89

B+

83-86

B

80-82

B-

77-79

C+

73-76

C

70-72

C-

0-69

F

Attendance/Participation:

Attendance/participation is not a graded component included in the student's final grade for this course. However, attendance to each class meeting is required and beneficial. Students are responsible for all announcements and supplements given within any lecture and/or via course email. Any in-class work missed cannot be made up.

Course Materials Purchased by the Students:

John Freund’s Mathematical Statistics with Applications, 8th edition, by Miller & Miller, Pearson, ISBN: 9780134995373 (paperback) or ISBN: 978-0-321-80709-0 (hardcover).

Scholarly Perspectives

This course engages diverse scholarly perspectives to develop critical thinking, analysis, and debate, and inclusion of a reading does not imply endorsement.

Scholarly Perspectives

This course engages diverse scholarly perspectives to develop critical thinking, analysis, and debate and inclusion of a reading does not imply endorsement.