Mathematics · Avançado · Nível 2

Probability

Sample spaces and Kolmogorov's axioms, counting for equally likely models, permutations and combinations, inclusion-exclusion, and probability as length and area; conditional probability, the multiplication rule, independence, the law of total probability and Bayes' theorem with its base rates; discrete random variables, mass and cumulative distribution functions, the Bernoulli, binomial, geometric and Poisson families, densities, and the uniform, exponential and normal families; expectation, variance, linearity and moment generating functions; joint and marginal distributions, conditional expectation and the tower property, covariance and correlation; and the limit theorems — Markov and Chebyshev, the law of large numbers, and the central limit theorem.

Ages 18+ 26 lessons about 8.5 hours in all

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