This unit is a mathematically based introduction to probability theory. Emphasis is placed on the theoretical development of the subject matter. Students should be mathematically competent, especially in the areas of integration, differentiation, and the summation of infinite series. Students who are not confident about their ability in these areas should consider enrolling in the more general unit, Risk and Chance. Topics covered include conditional probability, discrete and continuous random variables, transformations, convolutions, moments and moment generating functions, central limit theorem, sampling distributions, order statistics, bivariate and multivariate distributions

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