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Math Help - Tricky Question regarding joint probability.

  1. #1
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    Tricky Question regarding joint probability.

    Hi,
    I am an engineer and hence only know basic probability etc. I request you to reply without judging me :P. Here goes my question.

    I have many boxes with balls in them. X is the event that I open a random box and find that it has x balls in it. Then I add some extra balls in that box such that the number of balls in it is y.

    So we have y = x + T. here T is the number of extra balls I added to that box.

    My requirement is to find T as a function of x and any other constant or random variable, such that,

    joint probability density p(y,x) is minimum.

    I have absolutely no clue as to how I should proceed. Please give me your opinion or suggestion or advice. Thanks a lot.
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  2. #2
    MHF Contributor matheagle's Avatar
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    first of all, these are discrete rvs hence there isn't a density
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  3. #3
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    Talking

    Sorry I meant probability distribution function p(x,y)
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