Billiard table mm), though commonly referred to as 12 ft by 6 ft. Smaller tables, approximately 10 ft by 5 ft down to half size, are also sometimes used in pubs, homes and smaller snooker halls. The height from the floor to the top of the cushion is between 2 ft 9.5 in and 2 ft 10.5 in (85.1 cm and 87.6 cm). A snooker table has six pockets, one at each corner and one at the center of each of the longest side cushions. The pockets are around 86 mm (3.5 in), though high-class tournaments may use slightly smaller pockets to
Normally distributed and uncorrelated does not imply independent Normally distributed and uncorrelated does not imply independent In probability theory, although simple examples illustrate that linear uncorrelatedness of two random variables does not in general imply their independence, it is sometimes mistakenly thought that it does imply that when the two random variables are normally distributed. This article demonstrates that assumption of normal distributions does not have that consequence, although the multivariate normal distribution, including the bivariate normal distribution, does. To say that the pair ("X", "Y") of random variables has a bivariate normal distribution means that every constant (i.e. not random) linear combination "aX" + "bY" of "X"