Implementing Box-Mueller random number generator in C#

Question

From this question: Random number generator which gravitates numbers to any given number in range? I did some research since I\'ve come across such a random number generator

Answer 1

I am no mathematician, or statistician, but if I think about this I would not expect a Gaussian distribution to return numbers in an exact range. Given your implementation the mean is 0 and the standard deviation is 1 so I would expect values distributed on the bell curve with 0 at the center and then reducing as the numbers deviate from 0 on either side. So the sequence would definitely cover both +/- numbers.

Then since it is statistical, why would it be hard limited to -1..1 just because the std.dev is 1? There can statistically be some play on either side and still fulfill the statistical requirement.