Patients arrive at a clinic according to a Poisson distribution at rate of 40 patients per hour. The waiting room does not accommodate more than 24 patients. Examination time per patient is exponential with mean rate 30 per hour. Find the effective arrival rate at the clinic. What is the probability that an arriving patient will not wait? What is the probability that an arriving patient will not find a vacant seat in the room? What is the expected waiting time until a patient is discharged from the clinic?

Patients arrive at a clinic according to a Poisson distribution at rate of 40 patients per hour. The waiting room does not accommodate more than 24 patients. Examination time per patient is exponential with mean rate 30 per hour. Find the effective arrival rate at the clinic. What is the probability that an arriving patient will not wait? What is the probability that an arriving patient will not find a vacant seat in the room? What is the expected waiting time until a patient is discharged from the clinic?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Find the effective arrival rate at the clinic.
What is the probability that an arriving patient will not wait? What is the probability that an arriving patient will not find a vacant seat in the room?

What is the expected waiting time until a patient is discharged from the clinic?

Expert Solution