# stat151_class2

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Outline Background Discrete bivariate distribution Continuous bivariate distribution Multivariate probability distributions August 24, 2014 STAT 101 Class 2 Slide 1  Outline Background Discrete bivariate distribution Continuous bivariate distribution Outline of Topics 1  Background 2  Discrete bivariate distribution 3  Continuous bivariate distribution STAT 101 Class 2 Slide 2  Outline Background Discrete bivariate distribution Continuous bivariate distribution Why multivariate distributions? We would like to ﬁnd out how two or more variables are relatedExamples:Business: Association between job satisfaction andproductivitySociology: Social status between generations in a populationEconomics: Economic return and educationA  bivariate  distribution studies the joint behavior between two(random) variables  X   and  Y  . X   and  Y   can be both discrete, both continuous, or mixed. We willfocus on the ﬁrst two.A bivariate distribution is an example of a  joint distribution . STAT 101 Class 2 Slide 3  Outline Background Discrete bivariate distribution Continuous bivariate distribution Review of a discrete distribution: Drawing a marble from an urn 1243 5Probability 3525 Probability distribution tells us the long run frequencyfor is higher than STAT 101 Class 2 Slide 4

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