Obtain the MGF of W.
So, insert where you have t in the MGF of Y.
Y has gamma distribution with α=n/2 for some positive integer n and β equal to some specified value. Using method of mgf, show that W=2Y/β has a chi-square dist. with n df.
I know what the mgfs of gamma and chi-square are. The part that is confusing me is the W=2Y/β and how to plug in the mgf's and such.