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Discrete Uniform Distribution Formula:
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The Discrete Uniform Distribution is a probability distribution where each outcome in a finite set of possible outcomes has an equal probability of occurring. It represents situations where all outcomes are equally likely.
The calculator uses the discrete uniform distribution formula:
Where:
Explanation: The formula calculates the probability of any single outcome in a set of n equally likely outcomes.
Details: The discrete uniform distribution is fundamental in probability theory and is used to model situations where all outcomes have equal chance, such as fair dice rolls, coin tosses, or random selection from a well-shuffled deck of cards.
Tips: Enter the number of equally likely outcomes (n must be a positive integer greater than 0). The calculator will compute the probability of any specific outcome occurring.
Q1: What are some real-world examples of discrete uniform distribution?
A: Fair dice (n=6), coin toss (n=2), drawing a card from a well-shuffled deck (n=52), and random number generation.
Q2: How does discrete uniform distribution differ from continuous uniform distribution?
A: Discrete uniform deals with countable outcomes, while continuous uniform deals with uncountable outcomes within an interval.
Q3: What is the expected value in discrete uniform distribution?
A: The expected value is \( \frac{n+1}{2} \) when outcomes are numbered 1 through n.
Q4: What is the variance in discrete uniform distribution?
A: The variance is \( \frac{n^2-1}{12} \) when outcomes are numbered 1 through n.
Q5: Can discrete uniform distribution be used for non-numeric outcomes?
A: Yes, as long as the outcomes are distinct and equally likely, the distribution applies regardless of whether outcomes are numeric or categorical.