Suppose that the arrival of customers at bank follows Poisson Process with rate of 10 per hour.
(a) Write down pdf of the waiting time till the first customer arrives after the bank opens.
(b) Determine the expected (average) time until the first customer arrives?
(c) Determine the probability that eleven customers arrive within the first hour.
(d) Determine the probability that at least one customer arrives in the next 15 minutes. ( Hint: 15 mins is 0.25 hours.