2. Willow Brook National Bank operates a drive-up teller window that allow customers to complete bank transactions without getting out of their cars. O weekday mornings, arrivals to the drive-up teller window occur at random. Assum hat Poisson probability distribution with an arrival rate of 24 customers per hour or 0. customer per minute can be used to describe the arrival pattern. Assume further tha he service times for the drive-up teller follow an exponential probability distributio with a service rate of 36 customers per hour, or 0.6 customer per minute. Use th single-channel drive-up bank teller operation to determine the following operatin characteristics for the system: a. The probability of 4 customers in the system o. The average arrival time in minutes of customers The average service time in minutes of the drive-up teller

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2. 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. Assume
that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4
customer per minute can be used to describe the arrival pattern. Assume further that
the service times for the drive-up teller follow an exponential probability distribution
with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the
single-channel drive-up bank teller operation to determine the following operating
characteristics for the system:
a. The probability of 4 customers in the system
b. The average arrival time in minutes of customers
c. The average service time in minutes of the drive-up teller
Transcribed Image Text:2. 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. Assume that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4 customer per minute can be used to describe the arrival pattern. Assume further that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the single-channel drive-up bank teller operation to determine the following operating characteristics for the system: a. The probability of 4 customers in the system b. The average arrival time in minutes of customers c. The average service time in minutes of the drive-up teller
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