It can be shown that if events are occurring in time according to a Poisson distribution with mean it, then the interarrival times between events have an 1 exponential distribution with mean If calls come into a police emergency center at the rate of eight per hour, what is the probability that more than λ 17 minutes will elapse between the next two calls? (Round your answer to four decimal places.)

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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It can be shown that if events are occurring in time according to a Poisson distribution with mean it, then the interarrival times between events have an
1
exponential distribution with mean If calls come into a police emergency center at the rate of eight per hour, what is the probability that more than
2
17 minutes will elapse between the next two calls? (Round your answer to four decimal places.)
Transcribed Image Text:18 It can be shown that if events are occurring in time according to a Poisson distribution with mean it, then the interarrival times between events have an 1 exponential distribution with mean If calls come into a police emergency center at the rate of eight per hour, what is the probability that more than 2 17 minutes will elapse between the next two calls? (Round your answer to four decimal places.)
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