Question

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: $X~Exp(0.2)$

What is m? What does it represent?

Short answer

General expression of Exponential Distribution is $X~Exp\left(m\right)$and the given expression is $X~Exp(0.2)$. Therefore,$m=0.2$

Step-by-step solution

Concept

Generally a variable $X$that follows Exponential Distribution is expressed as;

$X~Exp\left(m\right)$.

Finding the value of m

The expression given in the question is $X~Exp(0.2)$. If it is compared to the general equation of exponential distribution, $X~Exp\left(m\right)$, it can be mentioned that $m=0.2$.

As $m$is the reciprocal rate of mean arrival of customers, it can also be mentioned that there is a significant reduction in the arrival rate of the customers.