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It is raccomended to have passed the exam of Calculus I.
This course is a calculus-based introduction to the classical theory of probability as well as to statistical analysis of data and to the main statistical tests.
This course consists of two parts: thirty-five one-hour theoretical lectures and thirty-five applied ones (including examples and exercises). Program: Probability. Random variables. Multivariate distributions. Samples. Estimates.
Probability and Statistics
Probability
Probability. Events. Definition and basic properties of probability. Conditional probability, Bayes law. Random variables, partition and distribution function, expectation, variance. Special distributions. Multivariate distributions. Distributions of functions of random variables.
Statistics
Statistics. Samples. Estimates. Methods for finding estimates. Pointwise and interval estimates.
S.M. Ross, Probabilità e statistica per l'ingegneria e le scienze, seconda edizione, Apogeo, Milano, 2008.
Using blackboard with chalk and overhead projector.
The exam consists of a written test and a possible oral examination.
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