Quote:
Originally Posted by k_sze
So I did end up using moment generating function. And I think the answer to (c) is , using calculus.
But now I'm stuck at (d).
Directly substituting is probably wrong? Because can be simplified to the point where no logarithm appears (unless I made a really big mistake).

*sigh*
I did end up getting
by substituting
for
, but only after simplifying
all the way down, until there is no more
or
, otherwise I get two powers of 2 with no obvious way to combine them.
So now the remaining hurdle is to prove that
.
Yay