Six Sigma Black Belt Certified Practice Exam

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Six Sigma Black Belt Certified Exam preparation with quizzes and multiple choice questions, complete with explanations. Enhance your skills and ensure success!

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If a process follows an exponential distribution with a mean of 25, what is the standard deviation for the process?

0.4
5.0
12.5
25.0

The correct answer is: 25.0

In an exponential distribution, the mean and the standard deviation are equal. This characteristic arises from the nature of the exponential distribution, which is frequently used to model the time until an event occurs, such as the time between arrivals in a Poisson process. Given that the mean of the process is 25, the standard deviation must also be 25. This reinforces the property of the exponential distribution that indicates both metrics are identical. Thus, when the mean is provided, it directly informs us about the standard deviation without the need for further calculations. The other options do not reflect the relationship inherent in the exponential distribution and do not hold true for a process defined by a mean of 25.