Uniform Distribution Calculator

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The uniform distribution describes a probability distribution where all outcomes in an interval are equally likely to occur.

The probability density function (PDF) is given by:

f(x) = \begin{cases} \frac{1}{b-a} & \text{for } a \leq x \leq b \\ 0 & \text{otherwise} \end{cases}

The cumulative distribution function (CDF) is:

F(x) = \begin{cases} 0 & \text{for } x < a \\ \frac{x-a}{b-a} & \text{for } a \leq x \leq b \\ 1 & \text{for } x > b \end{cases}