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Math Help - Cumulative distribution function

  1. #1
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    Cumulative distribution function

    This is my first post on MHF, hello everyone.
    I need to determine continuous random variable distribution function f(x) based on its cumulative distribution function <br />
F(x) = \left\{\begin{array}{cc}0&x<0 \\sin(x)&0\leq x \leq \frac{\pi}{2}\\1&x>\frac{\pi}{2}\end{array}\right.<br />

    Having F'(x)=f(x) (fundamental theorem of calculus) I would say that distribution function should look like this:

    <br />
f(x) = \left\{\begin{array}{cc}cos(x)&0\leq x \leq \frac{\pi}{2}\\0&else\end{array}\right.<br />

    Is this correct, and is this formula sufficient?
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  2. #2
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    Yes that's right. It's also sufficient, although you might make it clearer that your function is 0 everywhere other than the interval 0 to pi/2.
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  3. #3
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by losm1 View Post
    else
    Are you a fluent programmer haha...
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