Bivariate Normal Probability Distribution

List of symbols
![P(x,y) [;P(x,y);]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tvkKY1bopKeSmfDdoIqELwpfVQ07as5rSNZ8uuJXu2ppTEgkFswELzl94UHL6BRH_QB_5-QX5a3N47_-qJHaPgFIw=s0-d)
Bivariate normal probability distribution function
![\mu_x [;\mu_x;]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vuOddSMhL5-rqX2mWapGUyq6d2S0n4a5pF4ZIZZr5z3u5lCUExJCCADMjIVi05zp7Hs4VJpR8_w7pyuvuiaHE=s0-d)
Mean of x
![\sigma_x [;\sigma_x;]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tc7HFHgdn4lHcV7DFreVCaRhm_3NhenqjC1TQzyMagGiKvvDHJ6qdsbQPq29v9oOld8V0W9gJHO7_oh0wLGoVFCkI=s0-d)
Standard deviation of x
![\mu_y [;\mu_y;]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vNwgBgdF7vwJ0Y5iaFJb2Ew9nPf7uDfKtm8F77zx1owP0-a0TYU0DAuuNSxki-8Jamz2w6o9P_81OwoMM7Sw=s0-d)
Mean of y
![\sigma_y [;\sigma_y;]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uFbbZjTopCBZi9k4LCbgFATQzFgen4p34rTaFNxctgLXG1V8FoWP2yRVG4opL2eXqqervbaznowfcV4C5sWqJ9lg=s0-d)
Standard deviation of y
![\rho [;\rho;]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_t3SOhm_5HxqZXDamGEUEJJkbrxDc-SqBeq57n2gq_z-kFCarJjRfqaQR6N4WKBA-hhED-adMFwBgwQ1ZCZTA=s0-d)
Correlation between x and y
From:
sitmo


Graphs from a very good source
hereA note about bivariate normal distribution
hereThen, how about Multivariate Normal Distribution ?