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A bank has three tellers who can each serve 13 customers per hour on average, with...

A bank has three tellers who can each serve 13 customers per hour on average, with service times following an exponential distribution. A customer arrives at the bank every three minutes on average, according to an exponential distribution.

A) find the percentage of time that each teller is busy.

B) find the probability that there are more than two customers in the bank.

C) find the average number of customers in the bank

D) Find the average time a customer spends waiting to be helped

E) Find the average number of customers in line to be helped

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