Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of

Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:

  1. What is the probability that no units are in the system? If required, round your answer to four decimal places. P0 = fill in the blank 1
  2. What is the probability that one customer is receiving a haircut and no one is waiting? If required, round your answer to four decimal places. P1 = fill in the blank 2
  3. What is the probability that one customer is receiving a haircut and one customer is waiting? If required, round your answer to four decimal places. P2 = fill in the blank 3
  4. What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places. P3 = fill in the blank 4
  5. What is the probability that more than two customers are waiting? If required, round your answer to four decimal places. P(More than 2 waiting) = fill in the blank 5
  6. What is the average time a customer waits for service? If required, round your answer to four decimal places. Wq = fill in the blank 6 hours

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Probability and Random Processes With Applications to Signal Processing and Communications

Authors: Scott Miller, Donald Childers

2nd edition

123869811, 978-0121726515, 121726517, 978-0130200716, 978-0123869814

More Books

Students also viewed these Mathematics questions