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Thread: Probability Distribution Function Help

  1. #1
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    Probability Distribution Function Help

    Given the probability distribution function:

    Probability Distribution Function Help-ddf.jpg


    Determine the:
    1. Probability density function.
    2. The mean.
    3. The median.
    Hello,
    I am really struggling with this subject area, this is an example I have found, would someone be able to go through a solution so I can begin to understand it a bit more.
    Appreciate any help in advance.
    Thanks.
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by jscfc View Post
    Given the probability distribution function:

    Click image for larger version. 

Name:	ddf.jpg 
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ID:	21378


    Determine the:
    1. Probability density function.
    2. The mean.
    3. The median.
    Hello,
    I am really struggling with this subject area, this is an example I have found, would someone be able to go through a solution so I can begin to understand it a bit more.
    Appreciate any help in advance.
    Thanks.
    First you have a typo in your problem.
    Second we are not mind readers so please tell us that the function is the Cumulative distribution function
    Cumulative distribution function - Wikipedia, the free encyclopedia

    Your book or the above wiki will tell you that the CDF is the integral of the PDF

    $\displaystyle \displaystyle F(X)=\int_{-\infty}^{x}f(t)dt$

    So to undo an integral we will use the fundamental theorem of calculus to take the derivative of $\displaystyle F(x)$

    This will give $\displaystyle f(x)$ the PDF

    This will answer the rest of you question.

    Exponential distribution - Wikipedia, the free encyclopedia

    If you get stuck please post some work so we can see where.
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