If the moment-generating function of x is m ( t ) = 25 e t 15 e 2 t 25 e 3 t , find the mean, variance, and pmf of x.

a) If the moment-generating function of x is m ( t ) = 25 e t 15 e 2 t 25 e 3 t , find the mean, variance, and pmf of x.
b) If the moment-generating function of x is m ( t ) = 25 e t 15 e 2 t 25 e 3 t , find the mean, variance, and pmf of x.
c) If the moment-generating function of x is m ( t ) = 25 e t 15 e 2 t 25 e 3 t , find the mean, variance, and pmf of x.
d) If the moment-generating function of x is m ( t ) = 25 e t 15 e 2 t 25 e 3 t , find the mean, variance, and pmf of x.