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Joint Density Function

Joint Density Function. The joint density function of two random variables X and Y , denoted f X,Y ( x , y ) gives the density of probability per unit area at the point ( x , y ). Marginal Densities. Joint Density for Independent RVs.

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Joint Density Function

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  1. Joint Density Function • The joint density function of two random variables X and Y, denoted fX,Y(x, y) gives the density of probability per unit area at the point (x, y).

  2. Marginal Densities

  3. Joint Density for Independent RVs • Random variables X and Y are independent if and only if the joint density of X and Y is the product of the two marginal densities:

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