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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

Semester:  2

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.

Teaching arrangements

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.

Summative assessment
 TypeWeightMarking Model
2 hr written examination 80%  Model 2 
3 x class tests 20%  Model 6 

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


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