Detailed answers for API terms

Apologies if this has been answered already but I would really like to understand better what the various aparameters within OpenAI API are actually doing.

Take temp as an example, what does

Higher values like 0.8 will make the output more random ,while lower values like 0.2 will make it more focused and deterministic

What does more random output precisely mean? Random with respect to the prompt inserted, what does exactly happen “under the hood”? Is it possible that the description of each parameter would be more detailed in the documentation, along with some examples?

Muchas Gracias!

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