Fundamentals of Probability

Synopsis

Probability brings a sense of logic to a world characterised by randomness and uncertainty. MTH210 Fundamentals of Probability gives an elementary introduction to probability theory for students with knowledge of elementary calculus. This course will cover not only the probability theory but will engage with various examples to illustrate the wide scope of applications of probability. Upon completion of the course, students will possess the essential knowledge of probability theory, equipping them to apply probability models adeptly in addressing real-world practical challenges.

Level: 2
Credit Units: 5
Presentation Pattern: EVERY REGULAR SEMESTER

Topics

Probability axioms
Conditional probability
Random variables
Probability mass functions for discrete random variables
Probability density functions for continuous random variables
Cumulative distribution functions
Expectation and variance of random variables
Distributions of discrete random variables
Distributions of continuous random variables
Normal distribution
Normal approximation to approximate Binomial distribution
Poisson approximation to approximate Binomial distribution

Learning Outcome

Calculate the probability of the occurrence of an event.
Compute conditional probability and identify independent events.
Determine expectation and variance of random variables.
Solve probability distributions.
Comment on results of Normal/Poisson approximation to Binomial distribution.
Apply probability models in practical settings.

Part-time Programmes / CET Courses

Singapore University of Social Sciences

Fundamentals of Probability