# 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 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?

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?

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