Random Variables: Basics and Examples

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Constructing Real Numbers: Decimal Expansion

Covers constructing real numbers through decimal expansion and the concept of discrete and continuous random variables.

Probability and Statistics

Covers probability distributions, moments, and continuous random variables.

Probability and Statistics

Covers fundamental concepts in probability and statistics, including distributions, properties, and expectations of random variables.

Probability and Statistics: Fundamentals

Covers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.

Probability and Statistics

Covers Simpson's paradox, probability distributions, and real-life examples in probability and statistics.

Probability and Statistics

Covers probability, statistics, independence, covariance, correlation, and random variables.

Estimating R: Moments of a Distribution

Explains the importance of moments in measuring distribution properties, such as expectation and variance.

Convergence of Random Variables

Explores different modes of convergence for random variables.

Probability and Statistics

Covers moments, variance, and expected values in probability and statistics, including the distribution of tokens in a product.

Probability Theory: Midterm Solutions

Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.