Willow Brook National bank operates a drive-up teller window that allows customers to complete bank transactions without

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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 a Poisson distribution with
arrival rate of 15 customers per hour. (All applicable
formulas are required)
1). how much is the mean number of arrivals per
minute? the arrival rate λ.
Assume that the service times for the drive-up teller follow an
exponential probability distribution with a service rate of 60
customers per hour.
2) how much is the mean number of customers that can be
served per minute? the service rate μ.
3) The probability that no customers are in the system
4) The average number of customers waiting
5) The average number of customers in the system
6)the average time a customer spends waiting
7) The average time a customer spends in the system
8) The probability that arriving customers will have to
wait for service.
9) The probability that 3 customers in the system.