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Jointly continuous random dependent variables

  1. Mar 27, 2014 #1
    1. The problem statement, all variables and given/known data

    Let X and Y be rv's with joint pdf

    f(x,y) = 6(1-y) for 0≤x≤y≤1 and 0 elsewhere

    find Pr(X≤3/4, Y≤1/2)

    2. Relevant equations



    3. The attempt at a solution

    Ok I am having trouble with finding the right limits of integration for dependent variables. If we let the inner integral be for x would the limits be 0 to y? Then would y be 1/2 to 1?
     
  2. jcsd
  3. Mar 27, 2014 #2

    LCKurtz

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    No. Have you drawn a picture of the region?
     
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