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Logistic Distribution Random Number Generator
The logistic distribution resembles the normal distribution in that it is symmetric and has a central peak. Researchers sometimes use the logistic distribution instead of the Gaussian distribution because it has a simpler functional form that can be integrated more easily, which allows easier computation of probabilities.
The parameter a gives the center of the distribution, while the parameter b serves as a scaling factor.
The density function of the logistic distribution with parameters a and b is

mean = a
median = a
mode = a
variance = (π²/3)b²
skewness = 0
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