Introduction to Probability: A communication game application, Experiments, Random events, Algebra of events, Sample space, Probability, Independent and dependent events, Conditional probability, Theorem of Total Probability, and Bayes’ Theorem.
Discrete Random Variables: Distribution Functions, Probability Mass Functions, Bivariate Random Variables, Joint Distribution Functions, Joint Probability Mass Functions, Expected value, Variance, Moments, Covariance, Correlation coefficient, Convergence of sequences of random variables, Law of large numbers.
Continuous Random Variables: Distribution Functions, Probability Density Functions, Joint Probability Density Functions, Expected value, Variance, Normal distribution.