Problem $7-18($Algo$)$

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, $14\mathrm{.}0$ 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 three 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.