[Solved] Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars.
Question:
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with a mean arrival rate of 24 customers per hour or 0.4 customers per minute. Assume that the service times for the drive-up teller follow an exponential probability distribution with a mean service rate of 36 customers per hour or 0.6 customers per minute.
- The probability that no customers are in the system.
- The average number of customers waiting in line.
- The average number of customers in the system.
- The average time a customer spends waiting in line.
- The average time a customer spends in the system.
- The probability that arriving customers will have to wait for service (hint: an arriving customer has to wait except when no customers are in the system upon his arrival).
Deliverable: Word Document 