Use our free Cumulative Continuous Uniform Distribution Calculator to determine the probability P(X ≤ x) for a specified value x within a given range [a, b]. This essential tool helps statisticians and students quickly understand the cumulative likelihood for uniformly distributed data points.
Formula:
The cumulative distribution function (CDF), F(x), for a continuous uniform distribution U(a, b) is defined as:
- F(x) = 0, if x < a
- F(x) = (x - a) / (b - a), if a ≤ x ≤ b
- F(x) = 1, if x > b
Where:
- a = Lower bound of the distribution
- b = Upper bound of the distribution
- x = The value at which to calculate the cumulative probability P(X ≤ x)