I don't know how to solve it. Can you explain why?

Let g(a) be a uniform probability density function (pdf) on [0, 1]. Two random variables X and Y are described by a joint pdf fx,y(x, y) = g(y)g(x -y), for all x, y where g(a) = 1, osas1, 0, otherwise. (a) Provide an expression for the joint pdf fx, y(x, y) and sketch its domain in the (x, y) plane. (b) Determine and sketch the marginal density fx (x). (c) Determine and sketch the marginal density fy (y). (d) Are X and Y statistically independent? Explain. (e) Determine and sketch the conditional density fxy (x| y = 0.5). (f) Determine and sketch the conditional density frix(y | x = 0.5). Answers: See the plots below. fx (x) fy ( Y ) 0 2 0l Pdf in P2.9(b). Pdf in P2.9(c). fxly (x10.5) frix (Y |0.5) 2 0 0.5 1.5 X Pdf in P2.9(e). 0 0.5 Pdf in P2.9(f)