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Uniform Probability Distribution

In a Uniform Distribution Probability Density Function (PDF) is same for all the possible X values. Sometimes this is called a Rectangular Distribution.

There are two (2) parameters in this distribution, a minimum (A) and a maximum (B)

Uniform Probability Distribution

It is written as U(A,B)

pdf of uniform distribution

Detailed Example

Waiting time for a bus is uniformly distributed between 0-15 minutes. We need to find the probability that a person waits less than 10 minutes.

example illustration for uniform probability distribution

We need to find the area of the shaded area to get the probability.

P(X ≤ 10) = 10 * (1/15) = 0.667

Expected Value and Variance – Uniform Distribution

Expected Value and Variance - Uniform Distribution

References

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