Sum of two Gaussians

Draws 3 "Monte Carlo" simulated curves: for the 2 Gaussian variables (summands), X₁ and X₂; and for the sum, X = X₁ + X₂. It can be verified (as stated theoretically) that (a) the sum also is Gaussian, (b) with parameters: μ = μ₁ + μ₂ and σ = √(σ₁² + σ₂ ²) (from σ² = σ₁² + σ ₂²).
Other suggested data sets (μ, σ): 10, 1 / 11, 1; 10, 0.5 / 10, 1.2; 10, 3 / 20, 4 .
[Pythagorean triples: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17)...]

μ₁, σ₁:

μ₂, σ₂:

ntr, .repeat, klass:

y_max:

Show values ?:

Parameters of the 1.st variable.

Parameters of the 2.nd variable.

No. of trials, repeatability, no. of histogram classes.

Maximum y for graph [0 (not 0.): auto].

Shows the values of the graph coordinates.

Weisstein, "Normal sum distribution". From MathWorld-a Wolfram web resource.
Search Monte Carlo method...
Normal distribution (Wikipedia).
" Gaussian or Normal distribution ?" (Dept. of Computer Sci., Princeton U.).
Gorard, Stephen, 2004, Revisiting a 90-year-old debate: the advantages of the mean deviation, British Educational Research Association Annual Conference, 16—18 Sep. (Univ. of York).
Weisstein, "Pythagorean triple ". From MathWorld-a Wolfram web resource.
1873-09-13: Carathéodory, Constantin (1950-02-02).