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Thread: CDF to PDF

  1. #1
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    CDF to PDF

    Hello, can someone please help me, Im stuck with this:
    Last edited by NaeL; May 3rd 2010 at 10:43 AM. Reason: resizing image
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  2. #2
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    Quote Originally Posted by NaeL View Post
    Hello, can someone please help me, Im stuck with this:
    For CDF $\displaystyle F(x)$ and PDF $\displaystyle f(x),$ we have the relation...

    $\displaystyle \frac{d}{dx}F(x) = f(x)$

    Also, you know $\displaystyle \int_a^b f(x) = 1$ where $\displaystyle x$ is defined on $\displaystyle a<x<b...$ You can use this fact to find $\displaystyle K.$

    For the last part note that $\displaystyle F(x) = P(X\leq x)$ and $\displaystyle F(x)$ is given. Also, $\displaystyle P(a\leq x \leq b) = \int_a^b f(x)dx.$

    Show me where you are stuck, and I will help you proceed.
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