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Math Help - cumulative distribution function problem

  1. #1
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    cumulative distribution function problem

    I have this question I am trying to get through but i keep coming into trouble. The question is:

    Show that the cumulative distribution function from a uniform distribution of the random variable is Fx(y) = (y-a) / (b-a) for some a < y < b

    I've started the question but have become stuck going from here

    y
    ∫ x/(b-a) dx
    a

    when i integrate i come up with y2-a2/2(b-a). When i'm pretty sure it should come out as (y/b-a)-(a/b-a) which would then solve to y-a/b-a

    any advice as to what i'm forgetting to do would help me alot, thanks.
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  2. #2
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    Re: cumulative distribution function problem

    Quote Originally Posted by bryce09 View Post
    Show that the cumulative distribution function from a uniform distribution of the random variable is Fx(y) = (y-a) / (b-a) for some a < y < b
    I've started the question but have become stuck going from here
    y
    ∫ x/(b-a) dx
    You want to start with \int_a^y {\frac{{dx}}{{b - a}}}~.
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  3. #3
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    Re: cumulative distribution function problem

    Ok that makes sense, so the dx just integrates to x doesn't it. which then goes into y-a/1.
    Silly question, but why is it that there is no x, and just dx?
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