Given the MGF of random variable $Z$ is $M(t) = \frac{5}{5-t}$ provide the name of the distribution of $Z$, as well as its parameters.
Select all that apply. There may be more than one correct answer.

A. $poisson(\lambda = 1/5)$

B. $gamma(\alpha = 1,\beta = 1/5)$

C. $gamma(\alpha = 1,\beta = 5)$

D. $poisson(\lambda = 5)$

E. $gamma(\alpha = 1/5, \beta =1)$

F. $bernoulli(p = 1/5)$

G. $gamma(\alpha = 5,\beta = 1)$

H. $exponential(\lambda = 5)$

I. None of the above