Probability Theory - UQU

Introduction: Definition of sample space and events, probabilities defined on events, independent events, conditional probability, and Bayes' Theorem 2 Random variables: discrete and continuous random variables, expectation and variance, moments, moment generating functions and probability generating function of a random variables 3 Probability distribution function: discrete and continuous, cumulative distribution function, marginal distribution function 4 Discrete Probability Distribution: Bernoulli Distribution, Binomial Distribution, Geometric Distribution and Poisson Distribution 5 Continuous Probability Distribution: Normal Distribution, Uniform / Distribution, Gamma Random and Exponential Distribution 6 Jointly Distributed of Random Variables: conditional and marginal probability distributions, covariance, and correlation