In my opinion, this course is fundamental to Statistics and therefore Machine Learning. It is well explained, although it requires students to work on more mathematical aspect in parallel.
When you start statistics with practical examples, people tend to presume certain things (e.g. independence is given like in munchausen example) so I sort of understand this desire to keep every definition abstract/pure for solid foundations but damn, this course goes way too far. I took statistics at uni and this was a refresher on the specialisation track but the way Bayes' rule was covered made me doubt what I knew. Oh also, the instructor does some of my biggest pet peeves which are (1) using his preferred notations without actually reading it out loud first (2) unnecessary use of synonyms which just distract me from what he actually means (3) reading from slides without any context as to how these concepts are used.
Also, the concepts are elaborated on a seemingly random basis. Mean is left at "center of mass" like we just came out of physics 101 but the area under a curve is dragged out with random wood cutting analogies. I am just surprised at how all over the place this course is so far. Anyone starting from scratch, I highly recommend probability and statistics reading and some basic calculus elsewhere first. Otherwise you will get frustrated with this course.
