Question: Let X and Y be independent Poisson random variables with parameters and , respectively. Example 3.12.10 established that X + Y is also Poisson

Let X and Y be independent Poisson random variables with parameters λ and μ, respectively. Example 3.12.10 established that X + Y is also Poisson with parameter λ + μ. Prove that same result using Theorem 3.8.3.

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