Continuous Random VariablesCovers continuous random variables, probability density functions, and distributions, with practical examples.
Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Central Limit TheoremCovers the Central Limit Theorem and its application to random variables, proving convergence to a normal distribution.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Convergence in ProbabilityExplores convergence in probability, concentration inequalities, laws of large numbers, and properties of distributions.
Conditional Expectation: BasicsIntroduces the basics of conditional expectation, covering definitions, properties, and examples in the context of random variables.
Calculations of ExpectationCovers the calculation of expectation and variance for different types of random variables, including discrete and continuous ones.
