The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on the average there are 5 calls per hour. What is the probability that the first occurrence in which the time between two calls exceeds one hour is the 6th call?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on the average there are 5 calls per hour.
What is the probability that the first occurrence in which the time between two calls exceeds one hour is the 6th call?
Transcribed Image Text:The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on the average there are 5 calls per hour. What is the probability that the first occurrence in which the time between two calls exceeds one hour is the 6th call?
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