Discrete Uniform Distribution Calculator

Understanding Discrete Uniform Distribution

The Discrete Uniform Distribution is a probability distribution where every value between a minimum and maximum (inclusive) is equally likely to be observed. Imagine rolling a fair die – each outcome (1, 2, 3, 4, 5, or 6) has an equal chance of occurring.

Key Concepts:

• Probability: For any single value within the range [min, max], the probability is given by $$ P(X=x) = \frac{1}{max - min + 1} $$.
• Cumulative Probability: The probability of observing a value less than or equal to a specific value x is the sum of probabilities up to x.

Use Cases: This distribution is useful in scenarios where all outcomes are equally possible, such as in simulations, games of chance, and random sampling.

Learn more about Discrete Uniform Distribution on websites like Wikipedia.