## Discrete Uniform Distribution Calculator

Discrete uniform distribution calculator can help you to determine the probability and cumulative probabilities for discrete uniform distribution with parameter $a$ and $b$.

Discrete Uniform Distribution Calculator | |
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Minimum Value $a$: | |

Maximum Value $b$ | |

Value of x | |

Results | |

Probability : P(X=x) | |

Cumulative Probability : P(X ≤ x) | |

Cumulative Probability : P(X < x) | |

Cumulative Probability : P(X ≥ x) | |

Cumulative Probability : P(X > x) | |

## Definition of Discrete Uniform Distribution

A discrete random variable $X$ is said to have uniform distribution with parameter $a$ and $b$ if its probability mass function is given by

$$f(x; a,b) = \frac{1}{b-a+1}; x=a,a+1,a+2, \cdots, b $$

## Distribution function of Uniform Distribution

$$P(X\leq x) = F(x) = \frac{x-a+1}{b-a+1}; a\leq x\leq b $$