Suppose the arrival of calls at a switchboard is modeled as a Poisson process with the rate of calls per minute being λ a = 0.1
(a) What is the probability that the number of calls arriving in a 10- minute interval is less than 10?
(b) What is the probability that the number of calls arriving in a 10- minute interval is less than 10 if λ a = 0.1?
(c) Assuming λ a = 0.1, what is the probability that one call arrives during the first 10- minute interval and two calls arrive during the second 10- minute interval?