The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to 2 per minute. (a)  What is the expected number of phone calls that pass through the switchboard in one minute? (b)  What is the probability that no telephone calls pass through the switchboard in two minutes? (c)  What is the probability that no telephone calls pass through the switchboard in two consecutive minutes?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The number of telephone calls that pass through a switchboard has a Poisson distribution with
mean equal to 2 per minute.
(a)  What is the expected number of phone calls that pass through the switchboard in one minute?
(b)  What is the probability that no telephone calls pass through the switchboard in two minutes?
(c)  What is the probability that no telephone calls pass through the switchboard in two
consecutive minutes?

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