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Math Help - 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 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 F(x)

    This will give 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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