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Dec 21, 2024
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STAT 661 - A First Course in Probability (3 units)
Experiments, counting techniques, probability axioms; random variables, expectation, univariate and multivariate distribution theory, measures of association, conditional probability, Bayes theorem, sequences of random variables, Tchebychev inequality, Law of Large Numbers, and Central Limit Theorem.Probability space axioms; random variables, expectation, univariant and multivariant distribution theory, sequences of random variables, Tchebychev inequality, law of large numbers, and central limit theorem.
Prerequisite(s): MATH 283 with a “C” or better.
Units of Lecture: 3
Offered: Every Fall and Spring
Student Learning Outcomes:
Upon completion of this course:
1. Students will be able to demonstrate understanding of randomness and be able to use probability models to explain simple random phenomena. In addition, students will be able to compute summaries of probability distributions (univariate and multivariate).
2. Students will be able to compute measures of location, dispersion, and association, as well as probability of interest for many univariate and multivariate distributions.
3. Students will assess and make use of the asymptotic results provided by the Law of Large Numbers and the Central Limit Theorem and their connection to the estimates of quantities from data.
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