I am trying to create an equation that will generate a Gaussian distribution such that y = the sum of f(x) in a series of integers 1->28. I have y and want to know what the value of x at each integer in the series should be, make sense?
I'll explain a different way to illustrate what I'm looking for:
If I have $100 and I want to give away that money over 28 days in increments such that it creates a nice bell curve over the 28 day period, what would that equation be? And how can I tweak it to make the curve steeper or flatter and/or adjust the points of inflection?
Edit:
I'll try to make this a little more clear, and please forgive me for using what I'm sure is incorrect notation. I need a function where y = f(x) produces a Gaussian distribution. I know that the sum of y across the series x = {1,2,3...,28} is 100. What is a formula that will allow me to solve for y given the values of x?