Uniform distribution is a type of probability distribution in which all outcomes are equally likely. It is a simple distribution that can be used to visualize a set of data, where each value in the set of possible values has the same possibility of happening. Uniform distribution can be grouped into two categories based on the types of possible outcomes:
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Discrete uniform distribution: In this type of distribution, outcomes are discrete and have the same probability. A good example of a discrete uniform distribution would be the possible outcomes of rolling a 6-sided die, where each of the six numbers has an equal chance of appearing.
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Continuous uniform distribution: In this type of distribution, outcomes are continuous and infinite. The probability density function and cumulative distribution function for a continuous uniform distribution on the interval . The graph of a continuous uniform distribution is usually flat, whereby the sides and top are parallel to the x- and y-axes.
Uniform distribution is used in various applications such as hypothesis testing situations, random sampling cases, finance, and experiments of physical origin that follow a uniform distribution, such as the emission of radioactive particles.
