please answer all Marty's Barber Shop has one barber. Customers have an arrival rate of 1.6 customers per hour, and haircuts are givenwith a service rate of 3 per hour. Use the Poisson arrivals and exponential service times model to answer the followingquestions:a. What is the probability that no units are in the system? Round your answer to four decimal places.Po =b. What is the probability that one customer is receiving a haircut and no one is waiting? Round your answer to fourdecimal places.P₁ =c. What is the probability that one customer is receiving a haircut and one customer is waiting? Round your answer tofour decimal places.P2 =d. What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answerto four decimal places.P3 =e. What is the probability that more than two customers are waiting? Round your answer to four decimal places.P(More than 2 waiting)= The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrivalrate of 8 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distributionwith a service rate of 11 requests per hour.a. What is the probability that no requests for assistance are in the system? If required, round your answer to four decimal places.Po =b. What is the average number of requests that will be waiting for service? If required, round your answer to four decimal places.Lq =c. What is the average waiting time in minutes before service begins? If required, round your answer to nearest whole number.Wq =d. What is the average time at the reference desk in minutes (waiting time plus service time)? If required, round your answer to nearestwhole number.W =minPw=mine. What is the probability that a new arrival has to wait for service? If required, round your answer to four decimal places.

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Marty's Barber Shop has one barber. Customers have an arrival rate of 1.6 customers per hour, and haircuts are given with a service rate of 3 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: a. What is the probability that no units are in the system? Round your answer to four decimal places. Po = b. What is the probability that one customer is receiving a haircut and no one is waiting? Round your answer to four decimal places. P₁ = c. What is the probability that one customer is receiving a haircut and one customer is waiting? Round your answer to four decimal places. P2 = d. What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places. P3 = e. What is the probability that more than two customers are waiting? Round your answer to four decimal places. P(More than 2 waiting) =

Marty's Barber Shop has one barber. Customers have an arrival rate of 1.6 customers per hour, and haircuts are given with a service rate of 3 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: a. What is the probability that no units are in the system? Round your answer to four decimal places. Po = b. What is the probability that one customer is receiving a haircut and no one is waiting? Round your answer to four decimal places. P₁ = c. What is the probability that one customer is receiving a haircut and one customer is waiting? Round your answer to four decimal places. P2 = d. What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places. P3 = e. What is the probability that more than two customers are waiting? Round your answer to four decimal places. P(More than 2 waiting) =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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