For each of the following joint pdfs, find fX (x) and fY (y). (a) f X,Y (x,

Question:

For each of the following joint pdfs, find fX (x) and fY (y).
(a) f X,Y (x, y)= 1/2 , 0≤ x ≤2, 0≤ y ≤1
(b) f X,Y (x, y)= 3/2 y2, 0≤ x ≤2, 0≤ y ≤1
(c) f X,Y (x, y)= 2/3 (x +2y), 0≤ x ≤1, 0≤ y ≤1
(d) f X,Y (x, y)=c(x + y), 0≤ x ≤1, 0≤ y ≤1
(e) f X,Y (x, y)=4xy, 0≤ x ≤1, 0≤ y ≤1
(f) f X,Y (x, y)=xye −(x+y), 0≤ x, 0≤ y
(g) f X,Y (x, y)= ye−xy−y , 0≤ x, 0≤ y