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Probability theory and random variables
Recommended preparation
Calculus 2 is recommended, since continuous probability uses integration; the early material is friendly with strong algebra.
Basic probability concepts, sample spaces, and counting principles
Conditional probability, independence, and Bayes' theorem
Random variables, probability distributions, and expectation
Bernoulli, binomial, geometric, Poisson, and more
Continuous distributions, PDFs, and expectations
Uniform, exponential, normal, and other continuous distributions
Law of large numbers, central limit theorem, and convergence
Generating functions, inequalities, and simulation
Comprehensive references and practice materials