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    Another Die question




    If one was to roll a fair day and if the outcome is 2 then select a number at random in [1,2] and other wise select a number at random in [2,3]. if the number selected is X then find the PDF Fx of X.


    im a bit confused on how to answer this, any input would be appreciated.
    Last edited by ITman95; 11-22-2013 at 08:56 AM.

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    Re: Another Die question

    Are you sure you have the right ranges here? In both cases you are selecting a number from the same range.

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    Re: Another Die question

    OOPS!! thanks for pointing that out, fixed my original post with the correct ranges.

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    Re: Another Die question

    1) Do you know how to calculate and specify CDF for a continuous uniform random variable?

    2) Have you heard about the mixture distribution?

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    Re: Another Die question

    i dont know about mixture distribution BUT how can you apply CDF for this ?

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    Re: Another Die question

    i just used PDF to get my answer but not sure if it is correct.

    PDF of x is Pr(x=k)=1/6 for k=1,2,3,4,5,6

    so CDF would be
    Pr(x<=1)=1/6
    Pr(X ≤ 2) = 2/6

    and so on...

    is this the correct way to solve this or am i doing something wrong ?

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    Re: Another Die question

    Now you are calculating the CDF at some points for a discrete uniform distribution.

    You need to first know to calculate and specify the CDF at any point for a continuous uniform distribution.

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    Re: Another Die question

    How do i do that ?

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    Re: Another Die question

    http://en.wikipedia.org/wiki/Uniform...n_(continuous)

    Do you understand why the CDF (listed in the right hand side table) take such form?

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    Re: Another Die question

    yes because when it reaches 1 it becomes constant because it cannot be greater than 1

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    Re: Another Die question


    Got it figured out thanks.

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