I'm a mathematician (teach statistics among other things), but I really don't understand what you mean by: "union of two normal distributions." (what does "union" mean in this context?) Distributions are probability measures and the sum of probability measures is not a probability. If you mean that you want to find the distribution of the sum of 2 normal random variables, then that can't be done unless you know the joint distribution; if, for example they are independent (so the joint distribution is a product), then the sum is again normal with mean equal to the sum of the means of the rvs and variance equal to the sum of the variances. From the code you exhibited, it looks like that's what you meant, but then that's the answer, and I don't see what else you want to do.
(Update: Actually, after looking at what you did some more, I think maybe you didn't want the distribution of the sum...I guess I don't understand...sorry.)
If you can clarify, I'll try to give a better answer.
chas

In reply to Re: Empirically solving complex problems by chas
in thread Empirically solving complex problems by oakbox

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