Suppose the arrival of telephone calls at a switch can be modeled with a Poisson PMF. That is, if is the number of calls that arrive in minutes, then
Where λ is the average arrival rate in calls/minute. Suppose that the average rate of calls is 10 min.
(a) What is the probability that fewer than three calls will be received in the first 6 s?
(b) What is the probability that fewer than three calls will be received in the first 6 min?