- #1
QuarkCharmer
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Homework Statement
Not really a homework problem, but something that I was curious about. I was thinking about how a calculator finds the area under the standard normal distribution, and I started to assume that it most likely has the antiderivative for the function that makes the standard normal curve, and it simply substitutes the various z-score values for the F(b)-F(a) part of the fundamental theorem of calculus.
Homework Equations
The Gaussian Function:
[tex]f(x)=\frac{1}{\sqrt{2 \pi \sigma^{2}}}e^{\frac{(x-\mu)^{2}}{2 \sigma^{2}}}[/tex]
The Attempt at a Solution
I know at my current math level, I have no hope of integrating this function, (thankfully wolfram and others can aid me), but I was wondering what they use for the mean(mu) and the variance(sigma), and how they came up with that? I think it would be handy to know this.
Alternatively, is the calculator using the Gaussian Integral to perform this task instead?
[tex]f(x)=e^{-x^{2}}[/tex]
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