To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 10 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of five minutes each. Assume the queue length can be infinite with the FCFS discipline.What average number in line can be expected?Note: Round your answer to 3 decimal places. What average number of persons can be expected to be in the system?Note: Do not round your intermediate calculations. Round your answer to 3 decimal places. What is the average amount of time that a person can expect to spend in line?Note: Do not round your intermediate calculations. Round your answer to 4 decimal places. On average, how much time will it take to measure a person’s blood pressure, including their waiting time?Note: Do not round your intermediate calculations. Round your answer to 4 decimal places. On weekends, the arrival rate can be expected to increase to over 12 per hour.

Arrival rate (λ) = 10 persons per hourService rate (μ) = 1 service per 5 minutes = 12 services per…

Answered: To support National Heart Week, the…

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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To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 10 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of five minutes each. Assume the queue length can be infinite with the FCFS discipline.

What average number in line can be expected?

Note: Round your answer to 3 decimal places.
What average number of persons can be expected to be in the system?

Note: Do not round your intermediate calculations. Round your answer to 3 decimal places.
What is the average amount of time that a person can expect to spend in line?

Note: Do not round your intermediate calculations. Round your answer to 4 decimal places.
On average, how much time will it take to measure a person’s blood pressure, including their waiting time?

Note: Do not round your intermediate calculations. Round your answer to 4 decimal places.
On weekends, the arrival rate can be expected to increase to over 12 per hour.