4CCM141a Probability and Statistics I
Lecturer: Professor Michael Pitt and Professor Tiziana Di Matteo
Advice/Help for this module is also available from: either module lecturer
Credit level: 4 Credit Value: 15
Mathematics BSc/MSci (or with Year Abroad)
Mathematics with Statistics BSc (or with Year Abroad)
Mathematics with Management and Finance BSc (or with Year Abroad)
The aim of the module is to introduce the basic concepts and computations of the theory of probability and the theory of statistical analysis and inference.
Elementary combinatorial analysis, Definition of probability, Unions and intersections - Statistical Independence, Conditional probability, Bayes’s theorem, Random variables (discrete and continuous), Probability distributions (Binomial, Poisson, Normal, Gamma), Covariance and correlation, Independent variable and the law of large numbers, Central limit theorem, Sampling distributions (Normal, Students-t), Estimators, Confidence intervals, Hypothesis testing.
Three hours of lectures each week, and a weekly tutorial of one hour.
None, but the module is a prerequisite for more advanced probability and statistics modules such as Probability and Statistics II.
| Type||Weight||Marking Model|
|2 hr written examination
|3 x class tests
For students who fail the module at the first attempt, reassessment will be based entirely on the written exam.
Formative assessment: None
Required reading/resources : Wackerly, Mendenhall & Scheaffer, Mathematical Statistics with Applications
Suggested reading/resources (link to My Reading Lists)
14 January 2019