I've attached an outline for the course which will help to organize your notes.
There are extra problems from the textbook.
I put up extra problems from other textbooks.
Topics that will definitely be on the final exam:
0. Moment and non-moment generating function
1. inequalities
2. Weak law of large numbers, Central limit theorem
3. Normal distribution, geometric distribution, binomial distribution
4. Poisson process, Markov chains and processes