# finding the probability from moment generating function

The moment generating function of a poisson random variable X is given as $M_x(t)=e^{5e^t-5}$. Calculate $P(X \neq 5)$

I can only think of using mgf to do expected value.....

• Can you compute P(X=5)? – Did Dec 13 '13 at 9:32
• so I just solve the normal poisson random variable 1-P(X=5)? i got confused with the moment generating function... – natsu Dec 13 '13 at 9:33
• ok got it so the point of this question is to realize the lambda... thanks! – natsu Dec 13 '13 at 9:35
• The MGF allows to compute the parameter, which one needs to know P(X=5). – Did Dec 13 '13 at 9:36