High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the continuous uniform distribution is a family of probability distributions such that for each member of the family, all intervals of the same length on the distribution's support are equally probable. The support is defined by the two parameters, a and b, which are its minimum and maximum values. The distribution is often abbreviated U a,b. In probability theory and statistics, a probability distribution identifies either the probability of each value of an unidentified random variable, when the variable is discrete, or the probability of the value falling within a particular interval, when the variable is continuous.