Skip to content
You are viewing information for England.  Change country.

Applications of probability

This module introduces models to describe patterns of events that occur in time (such as earthquakes), and in space (for instance, the occurrence of a species of plant). Situations that occur only at discrete time points, including the ruin of a gambler, are studied. Probability models are developed for those situations, such as the spread of an epidemic, in which events may occur at any time. The module ends with other situations involving probability including genetics and changes in stockmarket prices. You are expected to be reasonably competent in calculus and algebra.

Modules count towards OU qualifications

OU qualifications are modular in structure; the credits from this undergraduate-level module could count towards a certificate of higher education, diploma of higher education, foundation degree or honours degree.

Browse qualifications in related subjects

Module

Module code
M343
Credits
30
Study level
OU SCQF FHEQ
3 10 6
Study method
Distance Learning
Module cost
See Module registration
Entry requirements
See Am I ready?

Student Reviews

I found this course very interesting, with well-written material that applied probability to a very wide range of problems and...
Read more

I studied M343 as the final module of the Statistics diploma, and whilst I found the content very interesting and...
Read more


Request your prospectus

Explore our subjects and courses

Request your copy now


What you will study

This module in probability and its applications emphasises probability modelling and developing the properties of the models. A considerable amount of mathematics is sometimes required for this development, but we do not always give formal proofs, particularly if the proof does not illuminate the probabilistic ideas.

The module consists of six books. 

The first one, which is introductory, revises and develops ideas about probability and introduces some techniques that will be used frequently in the module. 

The second book develops models for events occurring in time, including the Poisson process and several extensions of it, and patterns in space, including models for random scatter and clustering of objects.

The third book develops models for processes in which events can occur only at discrete time points, such as a Bernoulli process. This includes practical situations such as the ruin of a gambler and the extinction of a family surname.

In the fourth book, probability models are developed for situations in which events can occur at any time. Examples include queues, the spread of epidemics, and the change in the size of a population due to births and deaths.

In the fifth book, models are developed for various situations, including genetics, the renewal of components, and the change in stock market prices.

Computer simulations are used to illustrate some of the phenomena studied, and associated activities are included in a separate book.

You will learn

Successful study of this module should enhance your skills in understanding mathematical arguments, expressing problems in mathematical language, finding solutions to problems and interpreting mathematical results in real-world terms.

Professional recognition

This module may help you to gain membership of the Institute of Mathematics and its Applications (IMA). For further information, see the IMA website.

Teaching and assessment

Support from your tutor

You will have a tutor who will help you with the study material and mark and comment on your written work, and whom you can ask for advice and guidance. We may also be able to offer group tutorials or day schools that you are encouraged, but not obliged, to attend. Where your tutorials are held will depend on the distribution of students taking the module. Contact our Student Registration & Enquiry Service if you want to know more about study with The Open University before you register.

Assessment

The assessment details for this module can be found in the facts box above.

Please note that tutor-marked assignments (TMAs) for all undergraduate mathematics and statistics modules must be submitted on paper as – due to technical reasons – we are unable to accept TMAs via our eTMA system.

Future availability

The details given here are for the module that starts in October 2014. We expect it to be available once a year.

Regulations

As a student of The Open University, you should be aware of the content of the Module Regulations and the Student Regulations which are available on our Essential documents website.

Course work includes:

3 Tutor-marked assignments (TMAs)
4 Interactive computer-marked assignments (iCMAs)
Examination
No residential school

Course satisfaction survey

See the satisfaction survey results for this course.


Entry

This is an OU level 3 module. OU level 3 modules build on study skills and subject knowledge acquired from studies at OU levels 1 and 2. They are intended only for students who have recent experience of higher education in a related subject, preferably with the OU. 

You are expected to have a basic knowledge of probability: probability functions for discrete random variables and probability density functions for continuous random variables; the binomial, Poisson, geometric, exponential and normal distributions; the Poisson process. 

Analysing data (M248) would be ideal preparation but, if you have not studied this module, a revision of the rules of probability and some basic probability models is included in the first book. We recommend that you study this as early as you can so that you are prepared for the rest of the module.

You are also expected to have a reasonable degree of mathematical competence. Although any special techniques you need are taught in this module, it would be helpful if you were familiar with differential equations and matrices. To help determine whether you are adequately prepared for this module try our Diagnostic Quiz

Although some basic mathematical techniques are reviewed in the first book of this module, you are more likely to complete this module successfully if you have passed one of the OU level 2 mathematics modules Mathematical methods, models and modelling (MST210) (or its predecessor MST209) or Pure mathematics (M208).

If you have any doubt about the suitability of the module, please contact our Student Registration & Enquiry Service.

Register

Start End England fee Register
03 Oct 2015 Jun 2016 Not yet available

Registration opens on 12/03/15

This module is expected to start for the last time in October 2018.

Ways to pay for this module

Open University Student Budget Account

The Open University Student Budget Accounts Ltd (OUSBA) offers a convenient 'pay as you go' option to pay your OU fees, which is a secure, quick and easy way to pay. Please note that The Open University works exclusively with OUSBA and is not able to offer you credit facilities from any other provider. All credit is subject to status and proof that you can afford the repayments.

You pay the OU through OUSBA in one of the following ways:

  • Register now, pay later – OUSBA pays your module fee direct to the OU. You then repay OUSBA interest-free and in full just before your module starts. 0% APR representative. This option could give you the extra time you may need to secure the funding to repay OUSBA.
  • Pay by instalments – OUSBA calculates your annual fees and spreads them out over up to a year, enabling you to pay your fees monthly and walk away with a qualification without any further debt. APR 5.1% representative.

Read more about Open University Student Budget Accounts (OUSBA).  

Employer sponsorship

Studying with The Open University can boost your employability. OU qualifications are recognised and respected by employers for their excellence and the commitment they take to achieve one. They also value the skills that students learn and can apply in the workplace.

More than one in 10 OU students are sponsored by their employer, and over 30,000 employers have used the OU to develop staff so far. If the qualification you’ve chosen is geared towards your job or developing your career, you could approach your employer to see if they will sponsor you by paying some or all of the fees. 

  • Your employer just needs to complete a simple form to confirm how much they will be paying and we will invoice them.
  • You won’t need to get your employer to complete the form until after you’ve chosen your modules.  

Credit/debit card

You can pay part or all of your tuition fees upfront with a debit or credit card when you register for each module. 

We accept American Express, Maestro (UK only), Mastercard, Visa/Delta and Visa Electron. 

Gift vouchers

You can pay for part or all of your tuition fees with OU gift vouchers. Vouchers are currently available in the following denominations, £10, £20, £50 and £100. 

Mixed payments

We know that sometimes you may want to combine payment options. You may, for example wish to pay part of your tuition fee with a debit card and pay the remainder in instalments through an Open University Student Budget Accounts (OUSBA).

For more information about combining payment options, speak to an adviser or request a call back.


Note: Your permanent address/domicile will affect your fee status and therefore the fees you are charged and any financial support available to you. The fees and funding information provided here is based upon current details for  year 1 August 2014 to 31 July 2015.
This information was provided on 01/11/2014.

What's included

Books, web-based software, website.

You will need

Calculator with the usual mathematical functions (exp, log, sin, cos), but not necessarily with statistical functions.

Computing requirements

You will need a computer with internet access to study this module as it includes online activities, which you can access using a web browser.

  • If you have purchased a new desktop or laptop computer since 2008 you should have no problems completing the online activities.
  • If you’ve got a netbook, tablet or other mobile device check our Technical requirements section.
  • If you use an Apple Mac you will need OS X 10.7 or later.

You can also visit the Technical requirements section for further computing information (including details of the support we provide).

If you have a disability

This module may be very challenging if you have severely impaired sight. Almost all the texts contain detailed diagrams and there are a few data tables.

Adobe Portable Document Format (PDF) versions of printed material are available. Some Adobe PDF components (such as equations) may not be available or fully accessible using a screen reader and mathematical materials may be particularly difficult to read in this way. 

If you have particular study requirements please tell us as soon as possible, as some of our support services may take several weeks to arrange. Find out more about our services for disabled students.