Prerequisite for “Introduction to Statistical Thought”

I was browsing through http://www.math.umass.edu/~lavine/Book/book.html and found the book to be really exhaustive in terms of what I need it for but I was concerned about it's prerequisites.

I have a background in Calculus (I/II/III) which were fairly applied (as opposed to proof based) and Linear Algebra. Not many other Math courses. I had taken a Probability and Stats course but dropped it midway because I didn't like the exposition. I remember things like average, mode, median etc. but not something to be relied upon.