Consider a Single-Line, Single-Server Waiting Line System

question 121

Short Answer

Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at an average rate of 50 per hour, and the average (exponentially distributed) service time is 45 seconds per customer. What is the probability that 4 customers are in the system?

---

Definitions:

Before Meals

This term is commonly used in medical prescriptions and dietary advice to signify that a medication or action should be taken prior to eating.

Abbreviation

A shortened form of a word or phrase, used to simplify written and spoken communication.

Off-Label Use

The prescription of pharmaceuticals for an unapproved indication or in an unapproved age group, dosage, or route of administration.

Controlled Clinical Trials

Rigorous experiments that compare the effects of a specific treatment or intervention to a control group, in order to evaluate its effectiveness and safety.