Find a line in the rectangle from 0.0 to some point

[TheMathNoob]

Homework Statement

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.

Homework Equations

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.

 

[SteamKing]

Homework Statement

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.

Homework Equations

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.

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

 

[TheMathNoob]

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

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)

 

[haruspex]

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.

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

 

[HallsofIvy]

Homework Statement

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.

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.

2. Homework Equations

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.