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Main
UQU Programs
Mathematics

Probability Theory

MTH2602
3 hours English

Probability Theory

Probability Theory
MTH2601 elementary of Statistics and Probability
3 hours No requisites
1 Introduction: Definition of sample space and events, probabilities defined on events, independent events, conditional probability, and Bayes' Theorem
2 Random variables: discrete and continuous random variables, expectation and variance, moments, moment generating functions and probability generating function of a random variables
3 Probability distribution function: discrete and continuous, cumulative distribution function, marginal distribution function
4 Discrete Probability Distribution: Bernoulli Distribution, Binomial Distribution, Geometric Distribution and Poisson Distribution
5 Continuous Probability Distribution: Normal Distribution, Uniform / Distribution, Gamma Random and Exponential Distribution
6 Jointly Distributed of Random Variables: conditional and marginal probability distributions, covariance, and correlation
7 Others: Revision and activities, Exam, quizzes
1.1 Mapped to: K1

Explain the importance of random variable characteristics and distributions.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
1.2 Mapped to: K2

Develop and describe the assumptions for discrete, continuous, and joint probability distributions related to the sample mean and sample variance.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
1.3 Mapped to: K2

Outline the properties of random variables.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.1 Mapped to: S1

Identify key concepts of probability, including discrete and continuous random variables, probability distributions, conditional probability, independence, expectations, and variances.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.2 Mapped to: S2

Evaluate probabilistic models, by using advanced methods such as characteristic functions and conditional expectations

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.3 Mapped to: S3

Effectively communicate, justify, and defend the basic rules and theorems in probability including Bayes’ theorem and the Central Limit Theorem (CLT).

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.4 Mapped to: S4

Develop solutions to problems using a range of formats and approaches.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
3.1 Mapped to: V1

Collaborate effectively both independently and in terms on actuarial science-related issues, while demonstrating a commitment to lifelong learning.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
3.2 Mapped to: V2

Maintain confidentiality, comply with internal processes and professional standards, and effectively mange conflicts of interest within actuarial disciplines.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
Assessment
Weight
Preiodic Exam
30%
Homeworks, Quizzes, Mini projects
20%
Final Exam
50%
Total
100%