We suppose that customers arrive at a bank counter according to a Poisson process with rate λ = 10 per hour. Let N(t)be the number of customers in the interval [0,t].
(a) What is the probabiUty that no customers arrive over a 15-minute time period?
(b) Knowing that eight customers arrive during a given hour, what is the probabiHty that at most two customers will arrive over the following hour?
(c) Given that a customer arrived during a certain 15-minute time period, what is the probability that he arrived during the first 5 minutes of the period considered?
