## 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 | |
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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

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