Question

a single worker is able to serve 9 customers per hour at a help desk. an average of 6 customers arrive at the desk each hour to be served. 5. what is the average number of customers at the help desk (in line or being served)? g

Answer 1

The average number of customers at the help desk is approximately 3.33.

Step-by-step explanation:

To find the average number of customers at the help desk, we need to consider both the number of customers being served and the number of customers in line.

The help desk worker can serve 9 customers per hour, so on average, one customer is served every 60/9 = 6.67 minutes. This means that one customer leaves the desk every 6.67 minutes.

On the other hand, an average of 6 customers arrive at the help desk each hour. This means that one customer arrives every 60/6 = 10 minutes on average.

Therefore, the average number of customers at the help desk (in line or being served) can be calculated by considering the time it takes for a customer to leave and the time it takes for a customer to arrive:

(6.67 minutes / (6.67 + 10 minutes)) * 6 (number of arriving customers) = 3.33 customers

So, on average, there are approximately 3.33 customers at the help desk.