Uniform Distribution Probability
Formula:P(X = x) = 1 / (b - a)
Understanding Uniform Distribution Probability
In statistics, uniform distribution probability refers to a type of probability distribution where every outcome is equally likely within a specific range. This range is defined by two parameters, a and b, which represent the minimum and maximum values, respectively. The probability P of a given number x falling within this range can be computed with the formula above, where x is the chosen value within the a to b range.
Parameter usage:
a
= minimum value of rangeb
= maximum value of rangex
= value for which probability is being calculated
Output:
probability
= likelihood that x is in the range of a to b
Data validation
Make sure that parameter a is less than b.
Check if x lies within the range defined by a and b.
Practical Application
Uniform distribution is often used in simulations and various kind of random experiments where every outcome is equally likely.
Tags: Statistics, Probability, Uniform Distribution, Mathematics