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Uniform Distribution
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Definition of Uniform Distribution
A type of probability distribution where all outcomes are equally likely to occur.
Continuous Uniform Distribution
Applies to infinite outcomes in a continuous range. Characterized by a constant probability density function.
Discrete Uniform Distribution
Applies to a finite number of outcomes, often seen in rolling dice or drawing cards.
Expectation of Uniform Distribution
The mean or expected value is the central point of the distribution.
Variance of Uniform Distribution
Measures how much the outcomes are spread out from the mean.
Application in Simulation
Uniform distribution is used to generate random numbers in simulations.
Cumulative Distribution Function (CDF)
Gives the probability that a random variable is less than or equal to a certain value.
Use in Statistical Analysis
Uniform distribution can be a model for phenomena with no preference for any interval or value over another.
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