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#1 2007-10-08 01:54:47

freddogtgj
Member
Registered: 2006-12-02
Posts: 54

Probability Generating Function

I have this question that I need help on:

Let X and Y be independent random variables each with Poisson distribution, with parameters (lamda) and (mue) respectively.  Show that Z=X + Y has Poisson distribution and state its parameter.  If X1, X2,...,Xn are independent identically distributed random variables, with common distribution which is Poisson with parameter (lamda), find the probability generating function of W= ∑ Xj and hence state the distribution of W.

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