The answers (definitions) defined on Wikipedia are arguably a bit cryptic to those unfamiliar with higher mathematics/statistics.

[![enter image description here](https://i.stack.imgur.com/XmOdJ.png)](https://i.stack.imgur.com/XmOdJ.png)

I am a high school student very interested in this field as a hobby and am currently struggling with the differences between what is a `statistical model` and a `probability distribution` 

My current, and very rudimentary, understanding is this:

* statistical models are mathematical attempts to approximate measured distributions **(some equation)**
* probability distributions are measured descriptions from experiments that assigns probabilities to each possible outcome of a random event **(the actual desired abstract concept itself)**

confusion is further compounded by the tendency in literature to see the words "distribution" and "model" used interchangeably - or at least in very similar situations (e.g. binomial distribution vs binomial model) 

Can someone verify/correct my definitions, and perhaps offer a more formalized (albeit still in terms of simple english) approach to these concepts?