Distribution decomposition with normal curves

The formula I found to decompose a distribution into normal components, similar to how the Fourier transform decomposes a wave into sine and cosine components is:

Where n is the number of points to be interpolated... So if we know the value of the distribution say at x=1, 2, and 3 we evaluate the above with n=3 and those values for x1, x2, x3:

Now we can evaluate the above at each of x=1,2,3, with our y values of let's say .9, .7, and .8 respectively, and solve:

Now we can plot the solution: