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Conditional Joint Distributions

Conditional Joint DistributionsChris PiechCS109, Stanford UniversityTracking in 2D Space? Joint Random VariablesUse a Joint table, density function or CDF to solve probability questionUse and find independenceof random variablesThink about conditionalprobabilities with Joint variables (which might be continuous)What happens when you addrandom variables?Use and find expectationof random variablesJoint Random VariablesUse a Joint table, density function or CDF to solve probability questionUse and find independenceof random variablesThink about conditionalprobabilities with Joint variables (which might be continuous)What happens when you addrandom variables?

A joint probability density functiongives the relative likelihood of more than one continuous random variable each taking on a specific value. < £ < £ = ò ò 2 1 2 1 P(1 2, 1 2) , ( , ) a a b b a X a b Y b f X Y x y dy dx Joint Probability Density Function 0 y x 900 900 0 900 900

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