6. An internal study by the IT department at a company revealed company employees receive an average of 3.4 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution. (a) What is the probability a random employee received exactly 3 non-work-related e-mails between 4 p.m. and 5 p.m. yesterday? (b) What is the probability she received 5 or more non-work-related e-mails during the same period? (c) What is the probability she received three or less non-work-related e-mails during the 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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6. An internal study by the IT department at a company revealed company employees receive
an average of 3.4 non-work-related e-mails per hour. Assume the arrival of these e-mails is
approximated by the Poisson distribution.
(a) What is the probability a random employee received exactly 3 non-work-related e-mails
between 4 p.m. and 5 p.m. yesterday?
(b) What is the probability she received 5 or more non-work-related e-mails during the same
period?
(c) What is the probability she received three or less non-work-related e-mails during the
period?
Transcribed Image Text:6. An internal study by the IT department at a company revealed company employees receive an average of 3.4 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution. (a) What is the probability a random employee received exactly 3 non-work-related e-mails between 4 p.m. and 5 p.m. yesterday? (b) What is the probability she received 5 or more non-work-related e-mails during the same period? (c) What is the probability she received three or less non-work-related e-mails during the period?
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