Question $26$

$\frac{0}{3}$ pts

Students arrive at the Administrative Services Office randomly at the rate of $4$ per hour, and their requests require a random amount of time to be processed. On average one request is processed by $10$ minutes. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day.

Question $1$: Determine the average waiting time in the office measured in hours $\_\_.$

Question $2$: Suppose the time a student soends waiting in line costs them $($due to goodwill loss and so on$)$ $$10$ per hour. If each request is processed in exactly $10$ minutes, how much goodwill cost does the office incur for each student measured in dollars?