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 + σ22) (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:
ymax:
Show values ?:
Parameters of the 1.st variable.
Parameters of the 2.nd variable.
N. of trials, repeatability, n. 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).
