A continuous probability distribution that is useful in describing the time or space between successive occurrences of an event is a(n):
A)Uniform probability distribution.
B)Normal probability distribution.
C)Poisson probability distribution.
D)Exponential probability distribution.

Question

Quizplus · Accepted Answer

The exponential probability distribution is the best choice since it models the time or space between successive occurrences of an event, such as the time between car accidents or the space between defects in a manufacturing process. The exponential distribution is continuous and has a parameter λ, which represents the rate at which events occur. It is often used in reliability analysis and queuing theory. The uniform and normal distributions are not applicable in this context, and while the Poisson distribution is used to model the number of events that occur in a fixed interval of time or space, it does not model the time or space between events.

A Continuous Probability Distribution That Is Useful in Describing the Time