An idealized probability distribution which can be used to approximate many distributions which arise in practical applications.

(WHat are some of these applications?)

How exactly does the standardized normal distribution related to the Normal (Gauss) distribution, as in, why is it needed? Why are the results obtained from the standardized?

As a physics student, a lot of the details of these would be beyond my scope, but I would like to have an idea so to better understand it.

Hope someone can help clear thse up! Thanks!