Module and Programme Catalogue

Search site

Find information on

2019/20 Undergraduate Module Catalogue

MATH1710 Probability and Statistics I

10 creditsClass Size: 475

Module manager: Dr Robert Aykroyd
Email: R.G.Aykroyd@leeds.ac.uk

Taught: Semester 1 View Timetable

Year running 2019/20

Pre-requisite qualifications

A-level Mathematics, or equivalent.

This module is mutually exclusive with

LUBS1240Maths&Stats For Bus&Ec 1

Module replaces

MATH1715

This module is approved as a discovery module

Module summary

'Probability is basically common sense reduced to calculation; it makes us appreciate with exactitude what reasonable minds feel by a sort of instinct.' So said Laplace. In the modern scientific and technological world it is even more important to understand probabilistic arguments. The key ideas of probability and random variables are discussed, including concepts of prior and posterior distributions.

Objectives

On completion of this module, students should be able to:
(a) carry out exploratory data analysis, using a statistical package
(b) state and use the basic rules of probability
(c) understand discrete and continuous probability models
(d) understand the notions of prior and posterior probability

Syllabus

1. Exploratory Data Analysis: numerical and graphical summaries.
2. Introduction to probability axioms, and probability rules.
3. Joint and conditional probability, independence and Bayes' formula.
4. Discrete random variables, Bernoulli trials, binomial distribution.
5. Continuous random variables. Uniform, exponential and normal distributions.
6. Models for data, and parameters.
7. Expectation and Variance.
8. Likelihood.
9. Prior and Posterior Distributions.

Teaching methods

Delivery typeNumberLength hoursStudent hours
Lecture221.0022.00
Tutorial51.005.00
Independent online learning hours10.00
Private study hours63.00
Total Contact hours27.00
Total hours (100hr per 10 credits)100.00

Private study

This will include tutorial exercise sheets, lecture preparation, studying course material, using R for data analysis, revision for exams, preparing for tutorials.

Opportunities for Formative Feedback

Fortnightly tutorials and homework sheets.


!!! In order to pass the module, students must pass the examination. !!!

Methods of assessment


Coursework
Assessment typeNotes% of formal assessment
In-course Assessment.20.00
Total percentage (Assessment Coursework)20.00

There is no resit available for the coursework component of this module. If the module is failed, the coursework mark will be carried forward and added to the resit exam mark with the same weighting as listed above.


Exams
Exam typeExam duration% of formal assessment
Standard exam (closed essays, MCQs etc)2 hr 80.00
Total percentage (Assessment Exams)80.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading list

The reading list is available from the Library website

Last updated: 13/08/2018

Disclaimer

Browse Other Catalogues

Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD

© Copyright Leeds 2019