Someone claims that the number of hits on his website has a Poisson distribution with an average of 1 hit every 3 minutes. (a) What is the probability that there will be exactly 5 hits in the next 15 minutes? (b) What is the probability that in the next 15 minutes, exactly 1 hit occurs in each non- overlapping 3-minute period?

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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Someone claims that the number of hits on his website has a Poisson distribution
with an average of 1 hit every 3 minutes.
(a) What is the probability that there will be exactly 5 hits in the next 15 minutes?
(b) What is the probability that in the next 15 minutes, exactly 1 hit occurs in each non-
overlapping 3-minute period?
Transcribed Image Text:Someone claims that the number of hits on his website has a Poisson distribution with an average of 1 hit every 3 minutes. (a) What is the probability that there will be exactly 5 hits in the next 15 minutes? (b) What is the probability that in the next 15 minutes, exactly 1 hit occurs in each non- overlapping 3-minute period?
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