# Homework Help: Find a line in the rectangle from 0.0 to some point

1. Oct 25, 2015

### TheMathNoob

1. The problem statement, all variables and given/known data
There is a rectangle in the x-y plane with dimensions H=1, L=2. Find a line or diagonal in the rectangle in which for every point in the shaded area below that line x>y.

2. Relevant equations

3. The attempt at a solution
The line has to intersect a point in y=1 in which x>y. This point would be (1,1). But I do not get why.

2. Oct 25, 2015

### SteamKing

Staff Emeritus
Is there a pitcher associated with this problem that hasn't been attached?

3. Oct 25, 2015

### TheMathNoob

Suppose that the joint p.d.f. of a pair of random variables (X, Y) is constant on the rectangle where 0≤x ≤2 and 0≤y ≤1, and suppose that the p.d.f. is 0 off of this rectangle.

a. Find the constant value of the p.d.f.on the rectangle=1/2.
b. Find Pr(X≥Y)

4. Oct 26, 2015

### haruspex

Not sure I understand your question. I wouldn't worry about the distinction between > and >= here.

5. Oct 27, 2015

### HallsofIvy

It is impossible to answer this without knowing where the rectangle is. The same size rectangle placed at different places in the plane will give different answers.