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(4) Let X posses a Poisson distribution with parameter lambda. Show that P{X = i + 1}/P{X =
i} = lambda/i + 1
Solution
As X is a Poisson variable, x has distribution as
P(X=k) =
Substitute X=i and i+1
Then let us find
= / =
Thus proved.
This is the recurrence for mula for Poisson distribution prob and lembda is replaced by l here for
typing purposes.

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(4) Let X posses a Poisson distribution with parameter lambda. Sh.pdf

  • 1. (4) Let X posses a Poisson distribution with parameter lambda. Show that P{X = i + 1}/P{X = i} = lambda/i + 1 Solution As X is a Poisson variable, x has distribution as P(X=k) = Substitute X=i and i+1 Then let us find = / = Thus proved. This is the recurrence for mula for Poisson distribution prob and lembda is replaced by l here for typing purposes.