## the sum of the two gaussian distributions

on 26 Jul 2013

### the cyclist (view profile)

```ratio1 = 25;
ratio2 = ratio1/4;
```
```mu1 = 7.5;
FWHM1 = 60;
sigma1 = FWHM1/(2*sqrt(2*log(2)));
w1 = -100:100;
p1 = -.5 * ((w1 - mu1)/sigma1) .^ 2;
p2 = (sigma1 * sqrt(2*pi));
gauss1 = ratio1*exp(p1) ./ p2;
```
```mu2 = -7.5;
FWHM2 = 55;
sigma2 = FWHM2/(2*sqrt(2*log(2)));
w2 = -100:100;
p3 = -.5 * ((w2 - mu2)/sigma2) .^ 2;
p4 = (sigma2 * sqrt(2*pi));
gauss2 = ratio2*exp(p3) ./ p4;
```
```hold all
plot(w1,gauss1);
hold all
plot(w2,gauss2);
hold all
grid on
```

How can I sum two distribution to obtain a plot representing the sum of two gaussian distributions?

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### the cyclist (view profile)

on 26 Jul 2013
Edited by the cyclist

### the cyclist (view profile)

on 26 Jul 2013

If you literally want the sum (as opposed to some kind of joint probability), you can just add the two:

```plot(w1,gauss1+gauss2,'r')
```

You can do that here because you calculated gauss1 and gauss2 over the same range.

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