Thanks for your reply, jasonRF
Yes, this is for one of the stat course at my school. I also have an option to take another statistics course, which uses An Introduction to Mathematical Statistics and Its Applications
by Larsen. But the prerequisites of the courses that uses Larsen are only the first two quarters of calculus (i.e. differentiations and integrations), and while it might be a better introduction to probability and statistics, I'm afraid the course might be too easy. On the other hand, the course that uses Hogg requires linear algebra and multivariable calculus, and I think it covers more theory than applications. I don't know which is better, but I think it might be better to take the one with Hogg as long as I can handle it.
I think the first four chapters of Hogg deals with probability and distributions, and I assume the first quarter of this sequence will probably focus on probability. But I can see another textbook on probability might be better. For example, I've read the first few sections of Hogg (I checked it out from the library), and I feel like the text is covering this stuff pretty lightly (e.g. If I haven't taken combinatorics before, I'd probably be lost around permutations, combinations, and inclusion-exclusion formula, which is in section 1.3).