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Math Help - Calculation on distribution function (please help)

  1. #1
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    Calculation on distribution function (please help)

    see attached
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  2. #2
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    Quote Originally Posted by razzmath View Post
    see attached
    Does F represent the cumulative distribution function? And is the random variable Y?
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  3. #3
    MHF Contributor matheagle's Avatar
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    I'm not sure what you're asking.

    If X\sim U(0,1), then F_X(x)=x on (0,1).

    Thus \int_0^d(1-x)dx=d-{d^2\over 2}.
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  4. #4
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    Thanks both for the answers.

    The task is, that i have to express E(Y) as a function, only of G (see attached)

    And I really don't what to do about the integral. Y=X/si (where si are deterministic), Y is on [0,1] and Y has dstribution function F, defined on [0,1]. The variable d is defined on [0,1]

    My problem is after isolating E(Y), then what to do, to get rid of integral.

    And I don't know anything about it being uniform, beta or whatever.

    I you could give a hint, I'll be gratefull
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