How can I create a python random number generator with a specific min, max and mean?

I would like to create a random integer generator in Python that generates ONE random number everytime I press run, much like the Google random generator or the one at www.random.org

Conditions are that : Min = 1 Max = 3

...and a mean and standard deviation I can input myself.

I tried using website examples but they are over explained. I just need a simple code.

Please help if possible. Thanks.