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Math Help - CDF

  1. #1
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    CDF

    Deteremine if the function F is a CDF and if so, find the corresponding PDF

    F(x)= 0 if x<= 1
    ((x-1)^2)/(8) if 1<=x<3
    1 if 3<=x

    i just don't understand how to determine if its a CDF.
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  2. #2
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    Quote Originally Posted by durham2 View Post
    Deteremine if the function F is a CDF and if so, find the corresponding PDF

    F(x)= 0 if x<= 1
    ((x-1)^2)/(8) if 1<=x<3
    1 if 3<=x

    i just don't understand how to determine if its a CDF.
    Is F(x) \geq 0 for all values of x? Does F(x) = 1 for x \geq 3?

    Therefore ....?
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Is F(x) \geq 0 for all values of x? Does F(x) = 1 for x \geq 3?

    Therefore ....?
    do you just take the integration of it to find the PDF??
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  4. #4
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    Quote Originally Posted by durham2 View Post
    do you just take the integration of it to find the PDF??
    No. I'm sure your notes will say to take the derivative: f(x) = \frac{dF}{dx}.
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