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Math Help - [SOLVED] Derive c.d.f. from p.d.f

  1. #1
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    Cool [SOLVED] Derive c.d.f. from p.d.f

    f(x) = {1/9x, 0<x<3
    1/9(6-x), 3≤ x≤6
    0 otherwise

    Given that f(x) is a p.d.f., How to find the c.d.f for it? Pls help me on this.
    Last edited by Sashikala; February 12th 2009 at 03:55 AM.
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  2. #2
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    Quote Originally Posted by Sashikala View Post
    f(x) = {1/9x, 0<x<3
    1/9(6-x), 3≤ x≤6
    0 otherwise

    Given that f(x) is a p.d.f., How to find the c.d.f for it? Pls help me on this.
    F(x) = 0 for x \leq 0.

    F(x) = \int_{0}^x \frac{x}{9} \, dx for 0 < x < 3.

    F(x) = \int_{0}^3 \frac{x}{9} \, dx + \int_3^x \frac{6-x}{9} for 3 \leq x \leq 6.

    F(x) = 1 for x > 6.
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    Thumbs up Thanks

    Thank you Mr. Fantastic
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