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Math Help - Independent Random Variable (exponential function)

  1. #1
    Junior Member atalay's Avatar
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    Independent Random Variable (exponential function)

    If the random variables X and Y have the joint pdf:


    f (x, y)= { 2e^-x-y for 0<x<y, 0<y<∞
    0, elsewhere

    Show that X and Y are dependent.

    Please help me...
    Last edited by atalay; April 27th 2010 at 01:40 PM. Reason: grammer
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  2. #2
    Super Member Anonymous1's Avatar
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    Find the marginals and show that their product != f(x,y).

    Do you know how to find the marginal distributions?

    ...You could also simply use a factorization argument.
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  3. #3
    Junior Member atalay's Avatar
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    Yes, i know marginals, but i have a problem that i do not know integrals' lower limit and upper limit.
    Last edited by atalay; April 27th 2010 at 03:32 PM. Reason: wrong word
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  4. #4
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by atalay View Post
    Yes, i know marginals, but i have a problem that i do not know integrals' lower limit and upper limit.
    \int_0^y and \int_0^{\infty}...
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  5. #5
    Junior Member atalay's Avatar
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    i am thinking correctly but i do not trust me.

    thank you.
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