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Cursus: 202001235
202001235
Probability Theory
Cursus informatie
Cursus202001235
Studiepunten (ECTS)4
CursustypeOnderwijseenheid
VoertaalEngels
Contactpersoondr. C.G. Zeinstra
E-mailc.g.zeinstra@utwente.nl
Docenten
Docent
dr. J.B. Timmer
Examinator
dr. J.B. Timmer
Docent
dr. C.G. Zeinstra
Contactpersoon van de cursus
dr. C.G. Zeinstra
Collegejaar2020
Aanvangsblok
2B
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
Cursusdoelen
  • Student can reason on stochastic experiments and use sample space, events and set theoretical operators to describe events.
  • Students can reason about and use the axioms of probability theory, Laplace and the frequency interpretation.
  • Student can use the basic principle of counting, and use especially the binomial coefficient.
  • Student can reason about and use the concept of independent events.
  • Student can use discrete and continuous random variables.
  • Student can apply selection of probability mass functions/probability density functions and calculate expected value, variance and moments.
  • Student can apply Chebyshev’s inequality.
  • Student can determine and use the cumulative distribution function.
  • Student can determine the probability density function of a transformed random variable.
  • Student can reason about and use conditional probabilities, in particular Bayes’ rule.
  • Student can use joint discrete and continuous random variables, in particular marginal probability mass/density functions.
  • Student can calculate conditional expectation, in particular a continuous random variables given a discrete random variable.
  • Student can use functions of two discrete/continuous random variables.
  • Student can determine the probability mass/density function of use the sum of two random variables.
  • Student can determine the covariance of two random variables.
  • Student can determine the correlation coefficient of two random variables.
  • Student can apply the (standard) normal distribution.
  • Student can apply the central limit theorem.
Inhoud
In probability theory you learn how to model events of chance and you learn some basic techniques to analyse those models. The following topics will be discussed: experiment, sample space and probability, basic combinatorial probability theory; conditional probability and independence; discrete and continuous random variables and their (joint) distributions and moments; the normal distribution and the central limit theorem.
Voorkennis
Mathematics track: basic calculus (limits, differentiation, integration, etc.)
Participating study
Bachelor Electrical Engineering
Module
Module 8
Verplicht materiaal
Canvas
Lecture Notes Probability Theory for Engineers
Aanbevolen materiaal
-
Werkvormen
Hoorcollege

Werkcollege
AanwezigheidsplichtJa

Toetsen
Probability Theory for EE

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