is $6$ boats per hour and that the service rate for each server is $11$ boats per hour. $($Round your answers to four decimal places.$)$

$($a$)$ What is the probability that the boat dock will be idle?

$($b$)$ What is the average number of boats that will be waiting for service?

$($c$)$ What is the average time $($in hours$)$ a boat will spend waiting for service? h

$($d$)$ What is the average time $($in hours$)$ a boat will spend at the dock? h

$($e$)$ If customers expect to be able to be in and out of the marina within $10$ minutes on average, does this system provide acceptable service?

$,$ since the average time a boat will spend at the dock is $10$ minutes. Both channels will be empty approximately $60\%$ of the time, and when customers do show up$,$ they likely to have to wait for $10$ minutes. On the whole, the expansion be best way of achleving their goal.