Overview

This topic examines: the set-theoretic formulation of events and Kolmogorov's axioms of probability; counting techniques; conditional probability and independence; discrete distributions, including binomial, geometric, negative binomial, hypergeometric and Poisson; continuous distributions, including uniform, exponential, gamma, normal and Cauchy; expectation, mean and variance; probability and moment generating functions; several random variables; … For more content click the Read More button below.

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Tuition pattern

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Aims

This topic aims to introduce students to the mathematical development and applications of elementary probability theory.

Learning outcomes

On completion of this topic you will be expected to be able to:
1.
Understand the conceptual foundations of elementary probability theory
2.
Understand mathematical arguments and proofs relevant to elementary probability theory
3.
Understand standard families of discrete and continuous probability distributions
4.
Solve applied problems requiring the techniques of elementary probability theory and the standard families of discrete and continuous probability distributions

Assessments

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Requisites information

Pre-requisites:
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