Exponential Distribution

Exponential Distribution

Exponential Distribution describes the times in between events a process in which events occur continuously and independently at a constant average rate.

If the number of occurrences of some event follows a Poisson distribution, the time between successive occurrences will follow an Exponential Distribution.

Characteristics of an Exponential Distribution.

When is the exponential distribution used?

  • Describes the times in between events a process in which events occur continuously and independently at a constant average rate.
  • To describe the time between successive occurrences when all occurrences follow an Exponential Distribution.
  • To predict the length of time that properly maintained equipment will operate.
  • To approximate the time between outcomes. (See Poisson)
  • When a probability of an outcome is consistent throughout the time period.

http://www.public.iastate.edu/~riczw/stat330s11/lecture/lec13.pdf

Six Sigma Black Belt Certification Exponential Distribution Questions:

Question: If a process follows an exponential distribution with a mean of 25, what is the standard deviation for the process? (Taken from ASQ sample Black Belt exam.)

(A) 0.4
(B) 5.0
(C) 12.5
(D) 25.0

Answer: 25.0. In an exponential distribution, the mean and standard deviations are equal.

 

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