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AConditionalProbabilityMassFunction.nbp | 86.90Kb | application/octet-stream | ||
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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 |