The number of telephone calls that arrive at a phone exchange is often modelled as a Poisson random variable. Assume that on the average there are 10 calls per hour. 1) What is the probability that there are exactly 5 calls in one hour? 2) What is the probability that there are 3 or less calls in one hour? 3) What is the probability that there are exactly 15 calls in two hours? 4) What is the probability that there are exactly 5 calls in 30 minutes?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q4)
The number of telephone calls that arrive at a phone exchange is often modelled as a Poisson random
variable. Assume that on the average there are 10 calls per hour.
1) What is the probability that there are exactly 5 calls in one hour?
2) What is the probability that there are 3 or less calls in one hour?
3) What is the probability that there are exactly 15 calls in two hours?
4) What is the probability that there are exactly 5 calls in 30 minutes?
Transcribed Image Text:Q4) The number of telephone calls that arrive at a phone exchange is often modelled as a Poisson random variable. Assume that on the average there are 10 calls per hour. 1) What is the probability that there are exactly 5 calls in one hour? 2) What is the probability that there are 3 or less calls in one hour? 3) What is the probability that there are exactly 15 calls in two hours? 4) What is the probability that there are exactly 5 calls in 30 minutes?
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