Problem 153 (Algorithmic) 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 an arrival rate of 18 customers per hour or 0.3 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 30 customers per hour, or 0.5 customers perminute. Determine the following operating characteristics for the system: a. The probability that no customers are in the system. If required, round your answer to four decimal places. U pg= b. The average number of customers waiting. If required, round your answer to four decimal places. U Lg: c. The average number of customers in the system. If required, round your answer to the nearestwhole number. E d. The average time a customer spends waiting. If required, round your answer to four decimal places. Wq = D min e. 111e average time a customer spends in the system. If required, round your answer to the nearest whole number. W: min D f. 111e probability that arriving customers will have to wait for service. If required, round your answer to four decimal places. p..,= D