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Title: A conditional probability mass function
Type of Resource: Animação/simulação
Objective: Studying how a mass funcion of two variables behaves according to its function
Abstract: The probability mass function of a pair of discrete random variables (X,Y) is the function f(x,y)=P(X=x,Y=y). The conditional mass function of Y given X is the function f(y|x)=P(Y=y|X=x). Thus the mass function (left-hand plot) computes probabilities of intersections, while the conditional mass function (right-hand plot) computes conditional probabilities. For each x value, the slice through the conditional mass function at that value gives the distribution of Y when X assumes the value x. The mean of this distribution is the conditional expectation of Y given X=x, E[Y|X=x]. The weighted average of the conditional expectations, with the weights given by the probability that X=x, is the expected value of Y.You can reverse the roles of X and Y to obtain the conditional mass function of X given Y and the conditional expectation of X given Y=y
Observation: This demonstration needs the "MathematicaPlayer.exe" to run. Find it in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Curriculum Component: Educação Superior::Ciências Exatas e da Terra::Matemática
Theme: Educação Superior::Ciências Exatas e da Terra::Matemática::Matemática Aplicada
Author: Boucher, Chris
Language: English (en)
Country: United States (us)
Publisher: Wolfram Demonstration Project
Web Address: http://demonstrations.wolfram.com/AConditionalProbabilityMassFunction/
Date: 2009
Rightsholder: The Wolfram Demonstrations Project & Contributors
License: Demonstration freeware using MathematicaPlayer
Submitter: Universidade Federal de São Carlos (UFSCAR)
URI: http://objetoseducacionais2.mec.gov.br/handle/mec/22597
This Educational Object appears in the following Types of resources: Educação Superior: Ciências Exatas e da Terra: Matemática: Animações/Simulações