I am trying to develop a function that will allow me to input a random number between 0 and 1 and receive a value. The idea is that the function has a range (for example, 0-100) with a median value of 50.
I want something similar to a normal distribution of values:
The idea is that if I put in an arbitrary number of random inputs between 0 and 1, the vast majority of outputs will be near 50. Outputs near 0 or 100 would be very rare.
I have been attempting to read the Wikipedia article on probability distribution, but the knowledge needed to write a function eludes me.
So: what kind of function do I need to use in order for the results of that function to be in a normal distribution with domain [0, 1].
Thanks for the help. Explanations or suggestions on where to find explanations for anything above an Algebra II level would be greatly appreciated.