I am learning about moment-generating functions and need a little help with this exercise:
Let's say we have a moment-generating function for a random variable X, $M_X(t)=(\frac{0.25e^t}{1-0.75e^t})^4\cdot e^{-2t}$ for $t<-ln0.75$. How would we find $X$ from this?
Thanks!