Hello please may I get urgent help with these two questions :(

QUESTION 1 [39 Marks] (a) Let Y] and Y2 have the joint probability density function given by _ ky1y2,05y1 51,05y251 f (y 1' 3'2) _ { 0 elsewhere Find: (i) the value of k that makes f (yl, yg) a probability density function. (5) (ii) the joint distribution function for Y1 and Y2. (6) 1 3 (III) P (Y1 5 E, Y; 5 I)" (3) (b) Find (i) the marginal density functions for Y1 and Y2. (4) 1 3 (ii) P (n 5 5m 2 ). (6) (iii) the conditional density function of Y1 given Y2 = y2. (5) (iv) the conditional density function of Y2 given Y1 = y1. (5) 3 1 P Y Y = . (v) (154\" 2) (5) QUESTION 2 [20 Marks] Suppose the random variables X and Y have the joint density function defined by _ c(2x+y), 2