Suppose the arrival of telephone calls at a switch can be modeled with a Poisson PMF That is, if X is the number of calls that arrive in t minutes, then Where 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 thr...

Suppose the arrival of telephone calls at a switch can be modeled with a Poisson PMF. That

Question:

Suppose the arrival of telephone calls at a switch can be modeled with a Poisson PMF. That is, if X is the number of calls that arrive in t minutes, then

Where Î» 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?