fXY xy 15y x2 y x Given joint pdf Find Draw the region on t

f_X,Y (x,y) = 15y, x^2 y x Given joint pdf Find: Draw the region on the x-y plane on which the joint density is defined. Marginal Density of X. Marginal Density of Y. Expected value of X Expected value of Y Conditional Density of Y given X = x Expected Value of Y given X = x Conditional Density of Y given X = 1/2 Expected Value of Y given X = 1/2 Conditional Density of X given Y = 1/4 Expected Value of X given Y = y Conditional Density of X given Y = 1/4 Expected Value of X given Y = 1/4 For every density function you compute: have corresponding limits, make sure all densities are valid (integrate to 1 on the corresponding limits)

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