I.I.D what does this stand for?

Question

So almost everywhere in the book it's written "random variables are IID", what does this mean?

I think it means independent and identically distributed but not sure.

So by definition A and B R.V are independent means that:

$p(A\cup B)=p(A)+p(B)$ right?

But what does identically distributed mean? Does it mean that the variables have the exact same distribution?

Thanks a lot!

Answer 1

It means independent and identically distributed. You are correct.