$1.$ Average Number in Queue $($Lq$)$

A bank gets $24$ customers$/$hour$.$ Service time is exponential, averaging $2$ minutes.

Question: What is the average number of customers waiting in the queue $($Lq$)?$

$$Answer: $(\_\_\_\_$ customers$)$

$2.$ Average Time in System $($W$)$

A service center handles $18$ customers$/$hour$,$ with each taking $2\mathrm{.}5$ minutes.

Question: What is the average time a customer spends in the system $($W$)?$

$$Answer: $(\_\_\_\_$ minutes$)$

$3.$ Utilization $($$)$

At a coffee kiosk, the barista takes $1\mathrm{.}2$ minutes per customer. Customers arrive at $40$ per hour.

Question: What is the server utilization $($$)?$

Answer: $(\_\_\_\_)$

$4.$ M$/$M$/2$ System $$ Average Number in System $($L$)$

A help desk with $2$ agents gets $30$ calls$/$hour$.$ Each call takes $3$ minutes.

Question: What is the average number of calls in the system $($L$)?$

Answer: $(\_\_\_\_$ calls$)$

$5.$ Probability of Waiting $($Pw$)!$

In a supermarket, customers arrive at $25/$hour$.$ Service time is exponential with an average of $2$ minutes.

Question: What is the probability that an arriving customer will have to wait $($Pw$)?$

Answer: $(\_\_\_\_)$