Let Z and W be independent Poisson random variables with parameters 4 and 5, respectively. Which of the following statements are correct?

1
The sum of random variables Z and W is a Poisson random variable with parameter 9.
2
The difference between random variables Z and W is a Poisson random variable with parameter -1.
3
The sum of random variables Z and W is a Poisson random variable with parameter -1.
4
The difference between random variables Z and W is a Poisson random variable with parameter 9.

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