In Exercise 5.13, the joint density function of Y1 and Y, is given by 30yı y, yı – 1< y½ <1– yı, 0 < yı < 1, f (y1, y2) = 0, elsewhere. a Show that the marginal density of Y, is a beta density with a = 2 and ß = 4. b Derive the marginal density of Y2. c Derive the conditional density of Y2 given Y1 = y1- d Find P(Y, > 0IY, = 75).

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