MTH5129 - Probability and Statistics II - 2023/24
Topic outline
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This forum is available for everyone to post messages to. Students can raise questions or discuss issues related to the module. Students are encouraged to post to this forum and it will be checked regularly by the module leaders. Students should feel free to reply to other students if they are able to.
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We discussed the structure of the probability part of the exam on 15/12/2023 in the second hour of the lecture. These notes should be used while watching the recoding of this lecture.
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Please click on the above link to join the online session. Please note that the session will take place on Teams. If you are having any difficulties accessing the session, please contact maths-qmplus@qmul.ac.uk
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This module further develops the ideas introduced in the first year Probability and Statistics module. Probability is about quantifying uncertainty; we typically have a situation or system with some randomness to it and want to determine numerically the chance of it behaving in a certain way. Statistics on the other hand involves the collection, organization, analysis, interpretation and presentation of data; often we have a (perhaps very large) collection of data and want to deduce something about the process or population behind it.
We will learn about more advanced theoretical notions of probability, such as the distributions of random variables, their independence, their transformations and limit theorems. We will then look at different types of statistical tests of hypotheses. By the end of this module you will be able to addresses the questions of when and how to use them in real problems from life and physical sciences, business and economics, psychology and many other areas.
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- There will be two assessed quizzes for this module in weeks 7 and 12.
- Each quiz counts for 10% of your module mark.
- Each quiz will have several multiple choice or fill-the-blank questions.
- The additional quizzes quizzes will become live in Weeks 3, 5, and 10.
- You will have up to 5 days to complete each quiz.
- The examinable material in each quiz will be stated in its description.
- Your work should be entirely your own, and must be submitted on QMplus.
- The quizzes will appear in the main part of the QMplus page (Module Content) under the relevant weekly session.
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Please look at this prior to the tutorial taking place next week. Try to solve it yourself.
Solutions to be discussed in the tutorial on Friday 7 Oct.
[In this coursework, apart from the exercises, there is useful information about important example probability distributions that we will use in this course]
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Please complete prior to Tutorial next week.
To be discussed in Tutorial of week 3.
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There will undoubtedly be times during the term when you get stuck doing your homework or project. This is normal.
Come to the tutorial and we can discuss.
There are also sometimes problems that very much go beyond the field of maths. You can find help here:
QMUL Advice and Counselling Service
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Please complete prior to Tutorial next week.
To be discussed in Tutorial of week 4.
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Please complete prior to Tutorial next week.
To be discussed in Tutorial of week 5.
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Please complete prior to Tutorial next week.
To be discussed in Tutorial of week 6.
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This is a quiz testing your knowledge of the weeks 2-4 material. It does not count for your module mark. However, it will be recorded whether you took part and which result you got.
Topics include material from weeks 2-4: Marginal and Conditional distributions of continuous random variables, Covariance and Correlation of random variables, Independence of events and random variables.
The quiz
Opens: Friday, 27 October 2023, 1:00 PM
Closes: Wednesday, 1 November 2023, 6:00 PM -
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These notes accompany week 6 live lectures
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For comments concerning the probability part of the January exam see the last page of these notes.
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Please solve as many problems as you can.
To be discussed in Tutorials of week 6.
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