As a casual observer, you noticed that on average there will be a student entering the BCC

every $10$ minutes, with a standard deviation of $5$ minutes. There is only one staff, Mr$.$ B$,$ at

the front desk. On average, it takes him $5$ minutes to serve every arrival, with a standard

deviation of $3$ minutes. Assuming student arrival rate follows a general distribution and

service time follows an general distribution. Answer the following two questions.

Now assuming that the office hired one more staff to help Mr$.$ B out. Both the inter$-$arrival

time and service time are generally distributed and students only form one queue.

Additionally, assume the extra staff works exactly the same $($in speed and variability$)$ as

Mr$.$B$.$ All other numbers from the previous scenario still apply.

Question $5$

Under this new scenario where there are two staff working, on average, how many students

in total would you expect to see at BCC$?$

Round answer to two decimal places.

Question $6$

Under this new scenario, what would be the average total time $($in minutes$)$ a student

should expect to spend at BCC$?$

Round answer to two decimal places.

Now assuming that the office hired one more staff to help Mr$.$ B out. Both the inter$-$arrival

time and service time are generally distributed and students only form one queue.

Additionally, assume the extra staff works exactly the same $($in speed and variability$)$ as

Mr$.$B$.$ All other numbers from the previous scenario still apply.

Question $5$

Under this new scenario where there are two staff working, on average, how many students

in total would you expect to see at BCC$?$

Round answer to two decimal places.

Question $6$

Under this new scenario, what would be the average total time $($in minutes$)$ a student

should expect to spend at BCC$?$

Round answer to two decimal places.

As a casual observer, you noticed that on average there will be a student entering the BCC

every $10$ minutes, with a standard deviation of $5$ minutes. There is only one staff, Mr$.$ B$,$ at

the front desk. On average, it takes him $5$ minutes to serve every arrival, with a standard

deviation of $3$ minutes. Assuming student arrival rate follows a general distribution and

service time follows an general distribution. Answer the following two questions.

Question $3$

On average, how many students in total would you expect to see in the BCC$?$

Round answer to two decimal places.

Question $4$

What would be the average total time $($in minutes$)$ a student should expect to spend at

BCC$?$

Round answer to two decimal places.