In a discrete uniform distribution, outcomes are discrete and have the same probability. In a continuous uniform distribution, outcomes are continuous and infinite. In a normal distribution ...

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, Chernoff bounds and large deviations, martingales, ...

Sample space, Field and Probability Measure. Axiomatic definition of Probability. Bayes' theorem. Repeated trials. Continuous and discrete random variables and their probability distribution and ...