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Poisson distribution formular

  1. Apr 30, 2009 #1
    b]1. The problem statement, all variables and given/known data[/b]
    prove that

    [tex]\sum[/tex]( (e^(-u)) (u(^(x)) )/x! (from x=o to n ) = [tex]\int[/tex] ( (e^(-y))(y^n) )dy/n! (from u to infinite )


    2. Relevant equations



    3. The attempt at a solution
    i know that the left is Poisson distribution formular but how to do with the 'sum' ?
    and the right one i got a infinite series , use integration by part .but i don not know how to simplicity it .
    is there anything else i can use for this question ?
     
    Last edited by a moderator: Jan 7, 2014
  2. jcsd
  3. Apr 30, 2009 #2
    Re: proof

    any help?
     
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