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Module PROBABILITY

Module code: ST301
Credits: 5
Semester: 1
Department: MATHEMATICS AND STATISTICS
International: Yes
Overview Overview
 

Module Objective:
To introduce students to Probability Theory.

Axioms of probability, Conditional probability and independence, Discrete random variables: bernouilli, binomial, poisson, geometric, hypergeometric. Expectation; mean and variance. Continuous random variables: exponential, gamma, normal. Transformations. Joint distributions, marginal distributions and conditional distributions. Sums, order statistics. Multinomial. Bivariate normal. Expectation of functions, linear combinations. Covariance and correlation. Moment generating function. Limit theorems: inequalities, law of large numbers, central limit theorem, approximation. Sampling distributions: F and chi-squared.

Open Learning Outcomes
 
Open Teaching & Learning methods
 
Open Assessment
 
Open Autumn Supplementals/Resits
 
Open Pre-Requisites
 
Open Timetable
 
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