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This browser is not much use when it comes to mathematics but I'll try.

Suppose X is a random variable with a Normal distribution and let f(x) be the probability density function of x.

Then the mean is mu = E(X) = Integral of x*f(x) dx over the domain of X [which is negative infinity to positive infinity].

The variance is E{[X - E(X)]2} = Integral of (x - mu)2*f(x) dx over the domain of X.


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