Math Help - Adding Gaussians

1. Adding Gaussians

Given two different Gaussians (two different means and standard deviations,) how do I add them together to make a single gaussian?

2. Originally Posted by jimmybob83
Given two different Gaussians (two different means and standard deviations,) how do I add them together to make a single gaussian?
The sum of two Gaussian distributions is Gaussian with mean $\mu_1 + \mu_2$ and variance $\sigma_1^2 + \sigma_2^2$. Assuming independence, that is.

See
Normal distribution - Wikipedia, the free encyclopedia
under "Properties".