1. The random variables X and Y are distributed according to the joint PDF

Question

fX,Y(x,y) = {ax2,0,if 1≤x≤2 and 0≤y≤x,otherwise.

Find the constant a.

2. Determine the marginal PDF fY(y) .
(Your answer can be either numerical or an algebraic function of y ).

a. If 0≤y≤1 :
fY(y)=

b. If 1<y≤2 :
fY(y)=

Answer 1

1. 4/15
2.
a. 28/45
b. 4/45*(8-y^3)
3. 0.2976

Enjoy!

Answer 2

Please explain the steps..

Answer 3

a=1/7

Answer 4

1. 4/15
2.
a. 28/45
b. 4/45*(8-y^3)
3. 0.2976
good day mate