Complete bank transactions without getting out of theirs car

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Willow Brook National Bank operates a drive -up teller window that allowa customers to complete bank transactions without getting out of theirs cars. On weekday mornings, arrivals to the drive-up teller window occur random, with arrivals rate of 24 customer per hour or 0.4 customers per minute. a. what is the mean or expected number of customers that will arrive in a five minute period b. assume that the poisson probability distribution can be used to describe the arrival process .Use the arrival rate in part (a) and compute the probabilities that exactly 0,1, 2, and s customers will arrive during the five minute period c. delays are expected if more that three customers arrive during any five minute period. what is the probability that delays will occur 2. In the Willow Brook National Bank waiting line system(see problem 1) assume that the service time for the drive-p teller follow an exponential probability distribution with a service rate of 36 customers per hour or 0.6 customer per minute. use the exponential probability distribution to answer the following questions a. what is the probability the service time is one minute or less b. what is the probability the service time is two minute or less c. what is the probability the service time is more than two minutes using the single channel drive-up bank teller operation referree to in problems 1 and 2 to determine the following operation characteristics for the system a probability athat no customer are in the system the average number of customers waiting the average number of customers in the system the average time a customer spends waiting the average time a customer spend in the system the probability that arriving customers will have to w ait for service can you please show the answers for me alone and please explain how you got the answers. please I really in need of your helf (As soon as possible) Many thanks appreciate Can you please answer 2 and 3 which are related to question 1 which you did not answer. I really need it for tomorrow morning please.

Reference no: EM132230721

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