Concepts and basic properties of general probability and probability distributions for both discrete and continuous variables, including independence, moments and multivariate distributions.
Athena Title
Actuarial Probability Concepts
Prerequisite
(MATH 2250 or MATH 2250E) and (MATH 2260 or MATH 2260E or MATH 2260H)
Semester Course Offered
Offered fall and spring
Grading System
A - F (Traditional)
Student learning Outcomes
Students will be able to calculate probabilities involving one or more events, applying general probability rules when applicable.
Students will be able to calculate descriptive statistics involving univariate probability distributions for both discrete and continuous variables.
Students will be able to calculate descriptive statistics involving multivariate probability distributions for discrete variables.
Topical Outline
Set functions
Laws of probability
Conditional probability and Bayes' theorem
Univariate distributions
Bivariate and multivariate distributions
Distribution of functions of random variables
Moment generating functions
Central limit theorems
Transformations
Institutional Competencies Learning Outcomes
Analytical Thinking
The ability to reason, interpret, analyze, and solve problems from a wide array of authentic contexts.