X and Y are independent uniform Random Variable [0,a]











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Need to find pdf of $ |X-Y| $ .I little confused and not getting answer after taking below limits.
As it is symmetrical I have taken one part of triangle.
Considering lower triangle limits I have taken is x from $ y+z $ to $ a $ and outer limit : y from $ 0 $ to $ a-z $
Not getting expected answer.
Could any help.



Answer:
$f_{z}(z)=frac{2}{a}(1-frac{z}{a})$






probability probability-theory probability-distributions random-variables random-functions







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    favorite
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    Need to find pdf of $ |X-Y| $ .I little confused and not getting answer after taking below limits.
    As it is symmetrical I have taken one part of triangle.
    Considering lower triangle limits I have taken is x from $ y+z $ to $ a $ and outer limit : y from $ 0 $ to $ a-z $
    Not getting expected answer.
    Could any help.



    Answer:
    $f_{z}(z)=frac{2}{a}(1-frac{z}{a})$






    probability probability-theory probability-distributions random-variables random-functions







    share|cite|improve this question
























      up vote
      0
      down vote

      favorite
      1









      up vote
      0
      down vote

      favorite
      1






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      Need to find pdf of $ |X-Y| $ .I little confused and not getting answer after taking below limits.
      As it is symmetrical I have taken one part of triangle.
      Considering lower triangle limits I have taken is x from $ y+z $ to $ a $ and outer limit : y from $ 0 $ to $ a-z $
      Not getting expected answer.
      Could any help.



      Answer:
      $f_{z}(z)=frac{2}{a}(1-frac{z}{a})$






      probability probability-theory probability-distributions random-variables random-functions







      share|cite|improve this question













      Need to find pdf of $ |X-Y| $ .I little confused and not getting answer after taking below limits.
      As it is symmetrical I have taken one part of triangle.
      Considering lower triangle limits I have taken is x from $ y+z $ to $ a $ and outer limit : y from $ 0 $ to $ a-z $
      Not getting expected answer.
      Could any help.



      Answer:
      $f_{z}(z)=frac{2}{a}(1-frac{z}{a})$






      probability probability-theory probability-distributions random-variables random-functions




      probability probability-theory probability-distributions random-variables random-functions






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Nov 22 at 12:35









      Pramod_achar

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