Question

Let f(x,y) =(3/16) xy^2 \(0\leq x\leq 2\) and \(0\leq y\leq 2\)
find \(P(X\leq Y)\)
Please, help

Answer 1

where are you stuck?

Answer 2

I don't know how to do, before it, I got \(f_X(x) \), \(f_Y(y)\) , V(x) ,V(y)

Answer 3

Do I have to draw the graph out?

Answer 4

integrate over this region

Answer 5

How to get that graph? it looks like y w.r.t. x, not f(x,y) w.r.t x, y

Answer 6

you want x<y

graph x=y

then shade the region where x<y

Answer 7

obviously trapped between 0 and 2

0<x<2 and 0<y<2

Answer 8

Ok, Goooot you. Thanks a lot. ;)