units

MTH2222

Faculty of Science

# Undergraduate - UnitMTH2222 - Mathematics of uncertainty

This unit entry is for students who completed this unit in 2014 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

## 6 points, SCA Band 2, 0.125 EFTSL

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 Level Undergraduate Faculty Faculty of Science Organisational Unit School of Mathematical Sciences Offered Clayton Second semester 2014 (Day) Coordinator(s) Associate Professor Kais Hamza

### 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;

1. Appreciate the relevance of probability models to a variety of areas including Science, Engineering, Actuarial Science and Finance;

1. Derive means, variances, moments and distributions in a variety of univariate and multivariate contexts;

1. Use conditioning and moment generating functions to solve a variety of problems involving two or more events or random variables;

1. Understand the way random numbers are generated;

1. Formulate in probablistic terms real-life situations involving uncertainty.

### Assessment

Examination(3 hours): 70%
Continuous assessment: 30%