Calls arriving at a switchboard follow a Poisson process

Chapter 4, Problem 4.8.4

(choose chapter or problem)

Calls arriving at a switchboard follow a Poisson process with parameter =5.2 per minute. (a) What is the expected waiting time between the arrivals of two calls? (b) What is the probability that the waiting time between the arrivals of two calls is less than 10 seconds? (c) What is the distribution of the time taken for ten calls to arrive at the switchboard? (d) What is the expectation of the time taken for ten calls to arrive at the switchboard? (e) What is the probability that more than ve calls arrive at the switchboard during a 1-minute period?

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