Given information
Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: .
Step-by-step explanation
The mean of the exponential distribution is given by,
where, is the decay parameter.
The standard deviation of the exponential distribution is given by,
where, is the mean of the distribution.
According to the given information, the random variable denotes the time spent with each customer. This follows the exponential distribution with parameter .
Using this value in the given formula:
Since, the standard deviation is the same as the mean of the distribution, therefore the standard deviation of the distribution is