Finding a probability

Discussion in 'Homework Help' started by aaf8888, Nov 6, 2012.

  1. aaf8888

    Thread Starter New Member

    Dec 29, 2011
    11
    0
    Hello,

    I have a question regarding one of my homework problems about the joint CDF.

    The question is:

    If Fx,Y (x,y)={ (1-exp(-2x))(1-exp(-2y)). , x>=0 , y >=0
    { 0 , Otherwise



    Find the probability p(X>x , Y>y)?
     
  2. aaf8888

    Thread Starter New Member

    Dec 29, 2011
    11
    0
    Can I say that p(X>0,Y>0) is equal to 1-p(X<=0,Y<=0)?
     
  3. WBahn

    Moderator

    Mar 31, 2012
    17,757
    4,800
    Only if the two regions are disjoint (no overlap) and, combined, cover the entire space. So ask yourself if there are any combinations of x and y that either fall into both areas or don't fall in either. If the answer to either question is yes, then you can't use that relationship.
     
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