Continuous Uniform Distribution Calculator

Use this calculator to find the probability density and cumulative probabilities for continuous Uniform distribution with parameter $a$ and $b$.

Uniform Distribution Calculator
Minimum Value $a$:
Maximum Value $b$
Value of x
Results
Probability density : f(x)
Probability X less than x: P(X < x)
Probability X greater than x: P(X > x)

Definition of Uniform Distribution

A continuous random variable $X$ is said to have uniform distribution with parameter $\alpha$ and $\beta$ if its p.d.f. is given by

$$f(x; \alpha,\beta) = \dfrac{1}{\beta-\alpha}; \alpha< x< \beta $$

Distribution function of Uniform Distribution

Distribution function of continuous uniform distribution is

$$F(x) = \dfrac{x-\alpha}{\beta-\alpha}; \alpha< x< \beta $$

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