Independent random variablesX; Y and Z are identically distributed. Let

W= X+Y. The moment generating function of W is MW(t) = (0.7+0.3*e^t)^6:

Find the moment generating function of V = X + Y + Z:

I have started it with

Mv(t)=E[e^(X+Y+Z)*t]

=E[(e^(X+Y)*t)*(e^Z)*t]

since X,Y,Z are independent .we can write

Mv(t)=E[e^((X+Y)*t)]*E[e^(Z*t)]

=Mw(t)*Mz(t)

Here Mw(t) is given ,but how do I find out Mz(t)..

help me to solve this

Thanks in advance...