# Question

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?

(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?

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