Bivariate Normal Distribution:

Bivariate normal distribution describes the joint probability distribution of two variables, say X and Y, that both obey the normal distribution. The bivariate normal is completely specified by 5 parameters:

m_x, m_y are the mean values of variables X and Y, respectively;

s_x, s_y are the standard deviation s of variables X and Y;

r_xy is the correlation coefficient between X and y.

An essential feature of the bivariate normal distribution is that zero correlation (r=0) necessarily means that X and Y are independent random variables .

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