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Marginal and conditional distributions for discrete and continuous variables.

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| | Core Topics | | :--- | :--- | | I. Random Variables | Discrete/Continuous RVs, Moments, MGF, Binomial, Poisson, Geometric, Uniform, Exponential, Gamma, Normal distributions | | II. 2D Random Variables | Joint, Marginal & Conditional Distributions, Covariance, Correlation, Regression, Transformation of RVs, Central Limit Theorem | | III. Random Processes | Classification, Stationary & Markov Processes, Poisson Process, Markov Chains (Transition Probabilities, Limiting Distributions) | | IV. Queueing Models | Markovian Queues, Birth-Death Process, M/M/s Models, Finite Queues, Little's Formula, Balking & Reneging | | V. Advanced Models | M/G/1 Queue, Pollaczek-Khinchine Formula, M/D/1 & M/Ek/1, Queue Networks (Open & Closed Jackson Networks) |

: Fundamental laws governing random events.