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The historical roots of probability lie in the study of games of chance. Modern probability, however, is a mathematical discipline that has wide applications in a myriad of other mathematical and physical sciences. Drawing on classical gaming examples for motivation, this course will present axiomatic and mathematical aspects of probability. Included will be discussions of random variables (both discrete and continuous), distribution and expectation, independence, laws of large numbers, and the well-known Central Limit Theorem. Many interesting and important applications will also be presented, including some from classical Poisson processes, random walks and Markov Chains.
Grading: yes pass/fail option,
yes fifth course option
homework, classwork, and exams
MATH 250 or permission of the instructor
Priority will be given to Mathematics majors and to Statistics Majors.
This course is cross-listed and the prefixes carry the following divisional credit:
This is a 300-level Math/Stat course.