Question: Solve the following question manually and show your process. A Poisson random variable has pmf P(X = 2|>) =fx(2; 1) - e-xxz ac ! x

Solve the following question manually and show your process.

A Poisson random variable has pmf P(X = 2|>) =fx(2; 1) - e-xxz ac ! x = 0, 1, ...;0 (b) Show that Var(X) = > (c) Show that the MGF of X is Mx(t) = ed(et-1) (d) For X1, X2, ..., Xn be a random sample from a Poisson(A) distribution as described above, and define Y = _? X&. Find the MGF of Y, AND identify the distribution of Y

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