Question

I NEED HELP PLEASE!!!

Two random variables X and Y have a constant joint density function f ( x,y ) = c in the domain ( x < 10 < x > y > 0 )(and zero elsewhere).

(a) Find c .

(b) Find P ( X - Y < 4).

(c) Find P( X - Y = 1 )

(d) Find P(X^2 + Y^2 < 4).

Are X and Y independent? Explain

Answer 1

\[
f(x,y)=c\\
0<x<10,\quad 0<y<x
\]Is this is?

Answer 2

I'm confused by the bounds here.

Answer 3

Can you be more clear about the problem?