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Math Help - Density Functions and Distribution Functions

  1. #1
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    Density Functions and Distribution Functions

    A density function: f(x)= 2x for 0<x<1 and
    0 for x<0 or x>1.

    Find the distribution function.

    This is what I did.

    To get the distribution function F(x) for the 2x term you integrate it from 0 to x and get

    F(x)= x^2 for 0<x<1

    since F(x)= integral from -00 to x of f(x)

    but how do u find the other terms for when x<0 and x>1?

    Thanks!
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  2. #2
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    You'll kick yourself.

    Before the density function starts, F(x) = 0 for x < 0.
    After the density function is done, F(x) = 1 for x > 1.

    It is the nature of it.
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  3. #3
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    wow lol thanks! yes i am kicking myself.... such a simple idea and somehow i forgot to apply it.
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