Telephone calls arrive in an office at a rate of 12 calls per hour and may be
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Question:
Telephone calls arrive in an office at a rate of 12 calls per hour and may be modeled as a Poisson distribution. Find the probability that there are
(a) Exactly 2 calls in one hour.
(b) Exactly 1 call in 15 minutes
(c) 10 or fewer calls in 2 hours.
(d) The length of telephone call is a random variable T that follows an exponential distribution with average length of 6 minutes.
What is the probability that a caller is on hold for less than 5 minutes?
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