# MTH2222 - Mathematics of uncertainty - 2019

## 6 points, SCA Band 2, 0.125 EFTSL

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Faculty

Science

Organisational Unit

School of Mathematical Sciences

Chief examiner(s)

Coordinator(s)

Unit guides

Offered

Clayton

• First semester 2019 (On-campus)

Prerequisites

MTH1030, MTH1035, or ENG1005, or equivalent

Co-requisites

At least one of MTH2010, MTH2015, MTH2021, MTH2025, MTH2040 or ENG2005

## Synopsis

Introduction to probability - a mathematical treatment. Topics include: probability axioms, conditional probabilities and the law of total probability, discrete and continuous random variables, univariate and multivariate distributions, independence and conditioning, conditional distributions and conditional expectations, moment generating functions, simulation, the law of large numbers and the central limit theorem.

## Outcomes

On completion of this unit students will be able to:

1. Understand the basic concepts of probability including conditioning and independence, univariate and multivariate probability distributions, expectations, generating functions and limit theorems;
2. Appreciate the relevance of probability models to a variety of areas including Science, Engineering, Actuarial Science and Finance;
3. Derive means, variances, moments and distributions in a variety of univariate and multivariate contexts;
4. Use conditioning and moment generating functions to solve a variety of problems involving two or more events or random variables;
5. Understand the way random numbers are generated;
6. Formulate in probabilistic terms real-life situations involving uncertainty.

## Assessment

End of semester examination (3 hours): 60% (Hurdle)

Continuous assessment: 40% (Hurdle)

Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for both the end-of-semester examination and continuous assessment components.