[see also: evident, obvious, plain
The definition of M makes it clear that F is continuous. [Note that the it is necessary here.]
Now (d) is clear from the very last statement of Theorem 4.
The difficulty is that it is by no means clear what one should mean by a normal family.
It is also clear that there are extensions to......, but they do not seem to be worth the effort of formulating them separately.
It is intuitively clear that the amount by which Sn exceeds zero should follow the exponential distribution.