Virtual University

CDF of Poisson PMF, Joint Distribution Example, Marginal PMF (V-U)

Multiple derived RVs, Probability Computation (V-U)

Combinatronics, Birthday Problem, Bayes Rule (V-U)

n-step stochastic matrix, n-step reachability (V-U)

Conditional Distribution, Conditional PMF, Expected Value, Transformation of Random Variables (V-U)

Non-invertible Transformations (V-U)

Continuous Random Variable, Probability Density Function, PDF and CDF of a Continuous RV (V-U)

Norm of Vectors and Function, Convergence of RVs, Inequalities (V-U)

Continuous-time Markov chains, Poisson arrival and departure processes, Stationary probability distribution, Queuing theory (V-U)

Pair of derived RVs (V-U)

Convergence of Sequence, Convergence of RVs (V-U)

Pair of RVs , Buffon's Needle, Exponential RV Pair, Pair of Erlang RVs (V-U)

Correlation & Covariance, Correlated Gaussian RVs (V-U)

Partitioning of Markov chains (V-U)

Diagonalization of stochastic matrix, Periodic and aperiodic recurrence (V-U)

PDF of Z = X+X ? 2X, Characteristic Functions (V-U)

Direct Computation of Derived CDF (V-U)

Periodic and aperiodic Markov chains, Multivariate joint probability (V-U)

Eigen-analysis of stochastic matrix (V-U)

Probability Experiments: Repeated, Dependent, Cascaded (V-U)

Equally likely outcomes, Random Variables, Chuk-a-luck, Binomial & Poisson Distributions (V-U)

Random walk on real line, Random walk on 2-d plane, Random walk in higher dimensions, Continuous-time Markov chains (V-U)

Expectation of Transformed Random Variables, Covariance Matrix, Eigenvalues & Eigenvectors (V-U)

Relations, Functions, Probability (V-U)

Exponential RV Pair, Pair of Dependent RVs, Correlation & Covariance (V-U)