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All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 5 passengers per minute. On Monday morning the arrival rate is 8.0 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. (a) Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. (Round your answers to four decimal places. Report time in minutes.) Po La Wa = L = = W W = = min min (b) Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two- screening-station system be able to meet the manager's goal? O Yes O No (c) What is the average time (in minutes) required for a passenger to pass through security screening? (Round your answer to one decimal place.) min

All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 5 passengers per minute. On Monday morning the arrival rate is 8.0 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. (a) Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. (Round your answers to four decimal places. Report time in minutes.) Po La Wa = L = = W W = = min min (b) Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two- screening-station system be able to meet the manager's goal? O Yes O No (c) What is the average time (in minutes) required for a passenger to pass through security screening? (Round your answer to one decimal place.) min

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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7 All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 5 passengers per minute. On Monday morning the arrival rate is 8.0 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. (a) Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. (Round your answers to four decimal places. Report time in minutes.) 0 La W P = L = = W W = = = min min (b) Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two- screening-station system be able to meet the manager's goal? Yes No (c) What is the average time (in minutes) required for a passenger to pass through security screening? (Round your answer to one decimal place.) min
Transcribed Image Text:7 All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 5 passengers per minute. On Monday morning the arrival rate is 8.0 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. (a) Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. (Round your answers to four decimal places. Report time in minutes.) 0 La W P = L = = W W = = = min min (b) Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two- screening-station system be able to meet the manager's goal? Yes No (c) What is the average time (in minutes) required for a passenger to pass through security screening? (Round your answer to one decimal place.) min
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