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Bivariate Probability question

  1. Nov 18, 2009 #1
    1. The problem statement, all variables and given/known data
    Let x and y have the join probability density function given by

    f(x,y) = 6 (1-y) 0<= x<=y<= 1
    = 0 elsewhere
    Find P(x<=3/4, y=> 1/2)

    2. Relevant equations

    3. The attempt at a solution

    I know you have to find the probability in 2 parts.. but i am unsure how to do it?? any advice will be appreciated, thanks in advice.
  2. jcsd
  3. Nov 18, 2009 #2


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    Homework Helper

    start by drawing the following in the x y plane
    - the area where f(x,y) is non-zero
    - the region x<= 3/4
    - the region y >= 1/2

    the use this information to set up a double integral of f(x,y) over the required region
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