Cue sports tables are usually heated to stave off moisture and provide a consistent playing surface. The length of the pool table will typically be a function of space, with many homeowners purchasing an table as a compromise. Full-size pool tables are 4.5 by (interior dimensions). High-quality tables have a made of thick slate, in three pieces to prevent warping and changes due to temperature and humidity. Smaller bar tables are most commonly made with a single piece of slate. Pocket billiards tables of all types normally have six pockets, three on each side (four corner pockets, and two side or middle
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"