Question: Suppose a random variable is defined as Z = Z1 + Z2, where Z1 and Z2 are two independent random variables following Poisson distribution as

Suppose a random variable is defined as Z = Z1 + Z2, where Z1 and Z2 are two independent random variables following Poisson distribution as
Suppose a random variable is defined as Z = Z1

for k = 0, 1, 2 . . . and i = 1, 2. Calculate the distribution of Z.

xe k!

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