Given the MGF of random variable $U$ is $M(t) = (1-13 t)^{- 4}$, provide the distribution of $U$ as well as its parameters.
Select all that apply. There may be more than one correct answer.

A. $chi-squared(df = 13)$

B. $gamma(\alpha = 13, \beta = 4)$

C. $gamma(\alpha = 4, \beta = 13)$

D. $exponential(\lambda = 1/4)$

E. $uniform(a = 13, b = 4)$

F. $poisson(\lambda = 13)$

G. $exponential(\lambda = 1/13)$

H. $chi-squared(df = 4)$

I. None of the above