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 2 calls is less than 10 seconds (c) What is the distribution of the time taken for 10 calls to arrive at the switchboard (d) What is the expectation of the time taken for 10 calls to arrive at the switchboard ' (e) What is the probability that more than 5 calls arrive at the switchboard during a 1 minute period

Question: Calls arriving at a switchboard follow a Poisson process with parameter = 5.2 per minute. (a) What is the expected waiting time between the

Calls arriving at a switchboard follow a Poisson process with parameter λ = 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 2 calls is less than 10 seconds?
(c) What is the of the time taken for 10 calls to arrive at the switchboard?
(d) What is the expectation of the time taken for 10 calls to arrive at the switchboard.'
(e) What is the probability that more than 5 calls arrive at the switchboard during a 1-minute period?

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