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Actuarial Probability Concepts

Analytical Thinking

Course Description

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.



Syllabus


Public CV