Logistic Distribution Random Number Generator

The logisitic distribution resembles the normal distribution in that it is symmetric and has a central peak. Researchers sometimes use the logistic distribution instead of the Guassian 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.

a =       b =       N =
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The density function of the logistic distribution with parameters a and b is
The mean, median, mode, variance, and skewness are simple functions of a and b:

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

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