Description: The uniform distribution is a type of probability distribution in which all possible outcomes have the same probability of occurring. This means that, in a dataset, each value has an equal chance of being selected, making it one of the simplest and most fundamental distributions in probability theory. Mathematically, if an interval [a, b] is considered, the probability density function is constant over this range, implying that the probability of a value falling within a subinterval is proportional to the length of that subinterval. This property of equal probability makes the uniform distribution particularly useful in situations where there is no prior information favoring one outcome over another. Additionally, it is commonly used in simulations and random number generation, as it allows for modeling phenomena where each result is equally likely. The simplicity of the uniform distribution also facilitates its understanding and application in various fields, from statistics to computer science and operations research, where a basic approach is required for data analysis and decision-making.
