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 just parts 2,3,4 if possible thanks
(a) Throughout this part of the question X and Y will be continuous random variab have joint probability density function ce-(z+y) if 0 <rsy< fx.x (2,y) = otherwise, 0 where c is some non-negative constant. Do the following: (i) show that the constant c= 2, (ii) calculate the marginal density function fy of Y. (iii) calculate P[X +Y 2], (iv) calculate P[Y S1| X +Y 2].

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