Random results for zero-mean Gaussian process

The probability density function for a Gaussian distribution is expressed as:

{p(x)}=\frac{1}{{σ},{\sqrt{2\pi}}}{e^{\frac{-x^2}{2,{σ^2}}}}				where:p(x) is the Gaussian probability density function of quantity x.σ is one standard deviation of this quantity from the mean. It is equal to the root mean square (RMS) when the mean is zero.

The probability of x lying in the interval –cσ and +cσ is then calculated as follows:

p[{-cσ}\leq{x}\leq{cσ}]=\int_{-cσ}^{cσ} {\frac{1}{{σ},{\sqrt{2\pi}}}{e^{\frac{-x^2}{2,{σ^2}}}}} dx

where, c is the number of standard deviations.

Random results for zero-mean Gaussian process, Simcenter 3D 2021.1 Series

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