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Math Help - What is the distribution of this RV?

  1. #1
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    What is the distribution of this RV?

    The cfd of X is the following:


     F(X)= \begin{cases}0 & \text{if }  x < 0\\\frac{x}{8}& \text{if }  0 \leq x < 1&\frac{1}{4} + \frac{x}{8} &\text{if } 1 \leq x < 2&\frac{3}{4} + \frac{x}{12} &\text{if } 2 \leq x < 3& 1 &\text{if } x \geq 3\end{cases}

    Mixed ? P(X=1) = \frac{2}{8},  P(X=2) = \frac{5}{12} and it is continous on the interval (1,2)?
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  2. #2
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    Re: What is the distribution of this RV?

    Hey Jame.

    It looks a bit like a mixed uniform. Have you come across this (i.e something like say U = X + Y + Z for uniformly distributed variables X,Y,Z)?
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