Which of the following is the MGF of a Poisson distribution with mean λ\lambdaλ?
MX(t)=eλ(et−1)M_X(t) = e^{\lambda(e^t - 1)}MX(t)=eλ(et−1)
MX(t)=eλtM_X(t) = e^{\lambda t}MX(t)=eλt
MX(t)=(1−p+pet)nM_X(t) = (1 - p + pe^t)^nMX(t)=(1−p+pet)n
MX(t)=11−λtM_X(t) = \frac{1}{1-\lambda t}MX(t)=1−λt1