Q2 Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model isappropriate. Answer the following questions. No derivations are needed but a justification of youranswers is necessary.Q2(i.) What assumptions are necessary to model the arrival of cars as a Poisson process?Q2 (ii.) What is the expected number of cars that arrive between 10:30 a.m. and 12:45 p.m.?Q2 (iii.) Suppose you walk into the parking lot at 11:05 a.m.; how long do you have to wait onaverage to see a car entering the lot?Q2 (iv.) Assume that the lot opens at 8 a.m. what is the expected time at which the tenth cararrives at the parking lot.

Given: Cars arrive at a parking lot at a rate of 20 per hour. That is, λ=20

Answered: Q2 Cars arrive at a parking lot at a…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.3 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ = Н W q L = W = q W = = La W = q (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) min, which is ---Select--- than the desired wait time, so the goal |---Select--- ✓ met. Wq (in minutes) What action do you recommend? (Select all that apply.) Increase the mean service rate. Decrease the mean service rate. || (c) If the consultant can reduce the average time spent…
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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ = μ = L = Wa W = Pw W = (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) W₁ (in minutes) = min, which is ---Select--- than the desired wait time, so the goal ---Select--- ✓ met. h What action do you recommend? (Select all that apply.) There is no need to change the current operating parameters. Increase the mean service rate. Decrease the mean service rate. Wa…

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