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Math Help - Joint Probability question

  1. #1
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    Joint Probability question

    Hi,

    I'm really struggling knowing where to get started with this question...

    I can't find anything anywhere telling me how to go about it so any help would be very very much appreciated!

    Thanks
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  2. #2
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    Quote Originally Posted by neild View Post
    Hi,

    I'm really struggling knowing where to get started with this question...

    I can't find anything anywhere telling me how to go about it so any help would be very very much appreciated!

    Thanks
    Here's a foot in the door:

    (a) f(y, x) = f(y | x) \cdot f(x) = 8yx for 0 < y < x < 1 and zero otherwise.
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  3. #3
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    Okay, I understand part a) now but after a day of trying, cannot for the life of me understand how to do the rest.

    Do I have to integrate to get a cumulative distribution function? And even then, I still don't understand how I can get it in just terms of Y for part b), and what I'm supposed to do for parts c) and d).

    Sorry if I'm being stupid, but I really cannot understand what I'm doing at all.
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  4. #4
    MHF Contributor matheagle's Avatar
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    You can integrate OUT the rv X to obtain the density of just Y
    THEN integrate that from 0 to .5 to answer part (b).
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