How to retrieve a data from a histogram gaussian fitting?

I am working with simulations in realistic conditions in python. So I acquired some noise data from a real system, after this I generated an histogram to see the noise distribution and fitted it with an (adapted) Gaussian model. So, now I need to re-build the noise data from the gaussian fitting, create a list of values with it and pick some random numbers from this list. I have the values of the fitting, but it is like Incidence (freq) vs Voltage. I want to return it to the noise domain (Voltage vs time) to pick the random values from it. How I do that? Below is my data: histogram of noise and the gaussian fitting noise histogram