Probablity distribution on X

[goodrm]

I was looking over lecture #2. The following statement was made:

"You use probablity to assume points x(1) up to x(n)"

From slide 9 (lecture 2), this seems to infer that the training samples are generated from the probability distribution. Am I correct in my understanding?

Before proability was introduced, it seemed that we were discussing training samples as representing actual customer data such as (salary, years in residence, Years at job,etc).

I am having some trouble understanding how the probability assumes points on x and what this really means. Is this sort of like a random generator?

Any thoughts would be earnestly appreciated.