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Module code: MT861S
Credits: 5
Semester: 1
International: No
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.

Lectures and tutorials as for MT461S.

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