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Is there a way to find the average of part of poisson distribution? I tried it by finding the center of gravity of that part. However I faced the integration of factorial in the denominator of the pmf of poisson distribution Thanks

Mohammed Alnahhal
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  • The Poisson distribution is discrete, it doesn't have a pdf, but instead has a pmf. Are you looking for a proof of the expected value of the Poisson distribution? – Grid Apr 05 '14 at 18:15
  • Thanks. I am looking for the expected value of part of it. – Mohammed Alnahhal Apr 05 '14 at 18:17
  • See this http://www.proofwiki.org/wiki/Expectation_of_Poisson_Distribution – Grid Apr 05 '14 at 18:17
  • Thanks. But I am looking for the formula to find the expected value of part of it, for example, the area bounded by F_inv(90%, lamda) and infinity – Mohammed Alnahhal Apr 05 '14 at 18:25

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