User:Fibonacci/sandbox

Well, this is my sandbox. What for? I don't know.

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Mr. Kuhsíbiris,
this is the density, not the distribution!

${1 \over \sigma {\sqrt {2\pi }}}e^{-}{(x-\mu )^{2} \over 2\sigma ^{2}}$

Now you tell me: is this one density or distribution?

$f(x,y)={1 \over 2\pi \sigma _{1}\sigma _{2}{\sqrt {1-\rho ^{2}}}}exp(-{z \over 2(1-\rho ^{2})})$

Where

$z={(x-\mu _{x})^{2} \over \sigma _{x}^{2}}-{2\rho (x-\mu _{x})(y-\mu _{y}) \over \sigma _{x}\sigma _{y}}+{(y-\mu _{y})^{2} \over \sigma _{y}^{2}}$