Dec 10, 2025 · The probability density function (PDF) of a continuous uniform distribution defines the probability of a random variable falling within a particular interval. For a continuous uniform …

The following table summarizes the definitions and equations discussed below, where a discrete uniform distribution is described by a probability mass function, and a continuous uniform distribution is …

In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions. Such a distribution describes an experiment where there …

A uniform distribution is a continuous probability distribution and relates to the events which are likely to occur equally. A uniform distribution is defined by two parameters, a and b, where a is the minimum …

Mar 2, 2021 · If a random variable X follows a uniform distribution, then the probability that X takes on a value between x1 and x2 can be found by the following formula: P (x1 < X < x2) = (x2 – x1) / (b – a)

You can solve these types of problems using the steps above, or you can us the formula for finding the probability for a continuous uniform distribution: P (X) = d – c / b – a.

Here you'll be able to quickly and easily compute probabilities, generate samples, and determine various measures related to the uniform distribution. In particular, it can serve as a calculator of the mean of …

For discrete uniform distributions, finding the probability for each outcome is 1/ n, where n is the number of outcomes. Rolling dice has six outcomes that are uniformly distributed.

Nov 3, 2020 · Uniform distribution is a fundamental concept in probability theory and statistics. It represents a scenario where all outcomes are equally likely, making it an essential tool in data …

The uniform distribution explained, with examples, solved exercises and detailed proofs of important results