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_{1},X

_{2},…,X

_{n}be independent random variables that all have the same distribution, let N be an independent non-negative integer valued random variable, and let S

_{N}:=X

_{1}+X

_{2}+⋯+X

_{N}. Find an expression for the moment generating function of S

_{N}

so all i know is that it is i.i.d but i am not sure what distribution it is in order to find the moment generating function. how do i solve this question?