Bivariate
Standard Normal Distribution Density Function This section demostrates how to generate bivariate normal distribution density function for both "with correlation" and "without correlation". A bivariate normal distribution without correlation (means X and Y are independent) is simply the product of the two normal distributions. For example: In the case of the dependency (correlation is not zero), the density function is as followed: In the example below, given the standard deviation and mean for the two variables, 1 and 0 respectively, and the correlation of 0, we derive the following probability distribution table: Here are the definition of the variables in the formula above: C15 = standard deviation of x C16 = mean of x G15 = standard deviation of y G16 = mean of y F21 = correlation of x and y J23 = x I44 = y Below are the charts for the above senerio (no correlation with standard = 1, and mean = 0). The 3 charts are taken from different angles to help users gain a better prospective on this distribution. 

