>>10851296well then anon, i can't tell you there's any easy way to get good at statistics except by reading the textbook and actually learning the material. if you aren't allowed to do wolfram alpha to cut out the lookup table work or numerical integration drudgery, you better start working on it. stats seems trivial but it actually isn't.
it gets easier only once you are allowed to just "know" things like "oh that will be gaussian, here is the gaussian integral to do" which i knew because it just is intuitive to me at this point (and i implicitly invoked the central limit theorem like this anon was pointing out:
>>10851276 so some conceptual understanding is involved as well). anyhow, you need to learn the nitty-gritty of gaussian integrals as well as the concepts. you can forget the nitty-gritty later depending on what you plan to work on in the future, but the concepts are key.