Willow Brook National Bank operates a drive-up teller windowthat allows customers to complete bank transactions without gettingout of their cars. On weekday mornings, arrivals to the drive-upteller window occur at random, with an arrival rate of 24 customersper hour or 0.4 customers per minute. In the same bank waiting linesystem, assume that the service times for the drive-up tellerfollow an exponential probability distribution with a service rateof 36 customers per hour, or 0.6 customers per minute. Determinethe following operating characteristics for the system:
- The probability that no customers are in the system. Ifrequired, round your answer to four decimal places.
P0 = ??
- The average number of customers waiting. If required, roundyour answer to four decimal places.
Lq = ??
- The average number of customers in the system. If required,round your answer to nearest whole number.
L = ??
- The average time a customer spends waiting. If required, roundyour answer to four decimal places.
Wq = ?? min
- The average time a customer spends in the system. If required,round your answer to nearest whole number.
W = ??min
- The probability that arriving customers will have to wait forservice. If required, round your answer to four decimalplaces.
Pw = ??
