| Course Description |
This is an intermediate level course in Probability and Statistics that aims to broaden the probabilistic and statistical concepts and techniques of A-level mathematics so as to provide a more extensive knowledge base in the theoretical and applied aspects of these areas.
On completing this module, the student should be able to organise and describe of data, produce histograms and stem plots, solve problems involving probability, conditional probability and the Bayes rule, find probabilities and moments related to univariate and multivariate distributions, approximate binomial distribution using Poisson and normal distributions, compute conditional probabilities, conditional expectation, covariance and correlation for jointly distributed random variables, find sampling distributions of statistics, solve large sample probability problems using the central limit theorem, compute confidence intervals and performs hypothesis testing, compute the correlation and estimate the regression coefficients for bivariate data, compute confidence intervals and performs hypothesis testing for regression coefficients, find prediction and confidence intervals for predicted values, and solve problems related to the bivariate normal distribution. The student will also learn to use a statistical software package.
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