The time between arrivals at an ATM machine follows an exponential distribution with θ = 10 minutes. Find the mean and standard deviation of this distribution.
A)Mean = 10, Standard Deviation = 100
B)Mean = 10, Standard Deviation = 3.16
C)Mean = 10, Standard Deviation = 10
D)Mean = 3.16, Standard Deviation = 3.16

Question

Quizplus · Accepted Answer

For an exponential distribution with rate parameter $ \theta $, the mean (or expected value) is $ \theta $ and the standard deviation is also $ \theta $. Therefore, with $ \theta = 10 $, both the mean and standard deviation are 10.

The Time Between Arrivals at an ATM Machine Follows an Exponential