Question: Hello guys I'd like to know how to solve this problem. don't really understand the range of sigma. can you show me the detail? Thanks!

Hello guys

I'd like to know how to solve this problem.

don't really understand the range of sigma. can you show me the detail?

Thanks!

Let N1 and N2 be independent random variables following Poisson distributions with parameters 1 and 2.

Show that the distribution of N = N1 + N2 is Poisson with parameter 1 + 2

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