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

  1. Oct 25, 2015 #1
    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. jcsd
  3. Oct 25, 2015 #2


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    Is there a pitcher associated with this problem that hasn't been attached?
  4. Oct 25, 2015 #3
    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)
  5. Oct 26, 2015 #4


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    Not sure I understand your question. I wouldn't worry about the distinction between > and >= here.
  6. Oct 27, 2015 #5


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    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.

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