can you help me understand how to answer both parts of this

(a) A particle impinges randomly and uniformly on a square detector with vertices at (Carte- sian) coordinates, (1, 0), (0,1), (2,1) and (1,2) (arbitrary units). Let the coordinates of the particle be (X, Y). (i) Plot the marginal distributions of X and Y, respectively, and evaluate the..corr.ela..- tion coefficient, pxy. Hence, argue that the coordinates are uncorrelated but not independent. [30 %] (ii) Plot the regression function of Y, given X = as, including the standard interval in your plot. [25 %]