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The joint probability density function of x and Y is given by f ( x , y ) = 4 ( l n 2 )

The joint probability density function of

x

and

Y

given by

f (x, y) = 4 (l n 2)^{2} 2^{- (x + y)}, 0 x 1,0y1

Find

(

) P {x + Y \frac{1}{2}}

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