Subject |
random experiment, random variable, event, (pairwise) disjunct events, complementary event, Laplace definition of probability, Kolmogorov's axioms,
conditional probability, stochastic independent events
discrete distributions: probability and distribution function, graphical representation of discrete distributions,expectation and variance, Bernoulli distribution; discrete uniform, binomial and hypergeometric distribution, approximation of discrete distributions
continuous distributions: density and distribution function and their graphical representation, expectation and variance, uniform and normal distribution, approximations, central limit theorem
sample distribution, representative sample, random sample
estimation: unbiasedness, consistency, point and interval estimation for
proportions (Normal approximation) and means
hypothesis testing: basic concepts, tests for proportion (Normal approximation)
and means (one sample t-test), Chi-square test for independence
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