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, $9$ 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 six minutes each. Assume the queue length can be infinite with FCFS discipline.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, $9$ 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 six minutes each. Assume the queue length can

be infinite with FCFS discipline.

a$.$ What average number in line can be expected? $($Round your answer to $3$ decimal places.$)$

Average number expected

: people

b$.$ What average number of persons can be expected to be in the system? $($Round your answer to $3$ decimal places.$)$

Average number of persons

persons

c$.$ What is the average amount of time a person can expect to spend in line? $($Round your answer to $4$ decimal places.$)$

Average amount of time

hours

d$.$ On average, how much time will it take to measure a person's blood pressure, including waiting time? $($Round your answer to $4$

decimal places.$)$

hours