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1.If X and Y have joint pdf given by fX,Y ( x,y ) = 2 I (0 ,y )( x ) I (0 , 1)(

1.If X and Y have joint pdf given by

fX,Y (x,y) = 2 I (0,y)(x)I(0,1)(y)

a.Solve for the joint CDF of X and Y .

b.Show the marginal distribution of X using piecewise function.

c.Solve for the conditional distribution of Y given X = x.

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