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2. Telephone calls arriving at a particular switchboard follow a Poisson process with an average of...

2. Telephone calls arriving at a particular switchboard follow a Poisson process with an average of 5 calls coming per minute.

(a) Find the probability that more than two minutes will elapse until 2 calls have come in to the switchboard.

(b) What is the average time between any 2 successive calls coming in to the switch- board?

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