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Homework Statement
Derive the equation for the Gaussian distribution.
Homework Equations
The probability density function for the Gaussian distribution:
[tex]f(x) = \frac{1}{\sigma \sqrt{2\pi} } e^{ -\frac{(x-\mu)^2}{2\sigma ^2} }[/tex]
The Attempt at a Solution
It is my understanding that the Gaussian distribution is derived from the binomial distribution by means of the central limit theorem. The bionomial distribution is given by the following:
[tex]f(x) = \frac{n!p^{x}(1-p)^{n-x}}{x!(n-x)!}[/tex]
If this is true, I don't know how to go about doing it.