Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Dependence in Random VectorsExplores dependence in random vectors, covering joint density, conditional independence, covariance, and moment generating functions.
Red bus/Blue bus paradoxExplores the Red bus/Blue bus paradox, nested logit models, and multivariate extreme value models in transportation.
Multinomial DistributionCovers the multinomial distribution, joint density, marginal distribution, and conditional distribution.
Probability and StatisticsCovers p-quantile, normal approximation, joint distributions, and exponential families in probability and statistics.
Probabilistic Linear RegressionExplores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.