I have three questions.

About #117 and #118, I know how to solve like with 0

About #119, I got a, b, d, but I could not get the correct answers on c and e. Could you help me to solve them?

The correct answers:

119 Q . S S f ( x . y ) dady 21 b. F x3 ( 0 4, 0.5 ) kS So xcty = 3 So So ( x + 3 ) dady = kSo 202 + xylo dy = KS o 2 + 27 dy = (c [ 23 + 23 ] = 3|0 084 + 0432 0. 5 = K (2 + 1 ) 3 ( 0 04 + 0 1 05 ) 3 K = 1 K : 5 = 0-03 . 1 - So So 3 ( x + 3 ) dady = 1 - 3 ( 2 32 4879 + 27- 32 d3 2 = 1 - 7 5 2 3 2 43 +4 + 43 - 27 dy = 1 - 6 5 3 - 7 +4 dy - 23 + 43 7% = 1 - I [-2 + 8 - - X 16 3d. Pr [ X + y > 0. 7 ] = 1- 507 50.7- 7 * ( x c + 3 ) dadz = 1 - 3 507 [ 2 2 + x7 ] / o dz 0.7 / 32 - 1.47 + 0. 49 2 = 1 - 6 32 1 43 fa. 49 + 1. 43-232 dy 1 - 6 1 - 3 + 0495 ) 10 3 + 0 4 9 x 0 7 ) = 0 9 6189 e - f x ( x 1 = S of x y ( x c . y ) dy = 3 20 7 + 32 7A117. Let X and ) be discrete random variables with joint density function: fxx (x, y) = for x =1,2,3 and y =2,3. fry(x, y)=0 elsewhere. Let U =X +Y . Calculate the probability mass function for U .118. Let X and Y be discrete random variables with Joint probability function: ex+ y fxx (x, y) = for (x, y) = (0,1), (0, 2), (1,2), (1, 3) 12 0, elsewhere Determine the marginal probability function for X. 119. The continuous random variable \\" and Y have a joint probability density function of k(x+y) for 0 2] . d. Calculate Pr[X + Y > 0.7] . e. Determine the margin pdf of x .if u = 3 117. if u =4 PU)= if u = 5 aww if u = 6 118. 0.25 for x=0 and 0.75 for x=1 119. a. 1/3 b. 0.03 C. 7/18 d. 0.96189 e. x+