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Module title & Course code Introduction to Probability and Statistics MAS113 Lecturer Dr Jeremy Oakley Course description The module provides an introduction to the fields of probability and statistics, which form the basis of much of applicable mathematics and operations research. The theory behind probability and statistics will be introduced, along with examples occurring in such diverse areas as gambling, random walks, medical statistics and so on. Some of the computational statistical work may make use of the statistics package R. Further module only? No University course content A Level course content Module Set theory Basic coverage of drawing and interpreting Venn diagrams, union, intersection and complement, events and sample spaces. Probability Probabilities based on symmetry, relative frequencies, P(A and B), P(A or B), P(A|B), independent events, mutually exclusive events. S1 (optional unit) S1 No Discrete random variables Allocating probabilities, calculation of expectation and variance. Expectation and variance of aX + B S1 Binomial distribution Recognising when a binomial model might be appropriate, calculation of probabilities using calculator, mean and variance Poisson distribution Recognising when a Poisson model might be appropriate, calculation of probabilities using calculator, mean and variance. Poisson approximation to the binomial distribution. S2 Usually (optional unit) S2 Usually No