As the average service rate μ increases, the shape of the negative exponential distribution of service times A) grows steadily steeper without limit B) has an ever steeper slope that eventually turns positive C) becomes less gently curved as it moves ever closer to the graph origin D) takes on a more uniform slope over a wide range of service times E) changes in appearance from convex to concave

Question

Quizplus · Accepted Answer

As the service rate (μ) increases, the mean service time (1/μ) decreases, which causes the negative exponential distribution to shift towards the origin and become less gently curved. This means that the probability of short service times increases while the probability of long service times decreases, resulting in a sharper peak at lower service times. Therefore, as μ increases, the shape becomes less gently curved as it moves ever closer to the graph origin.

As the Average Service Rate μ increases, the Shape of the Negative