(a) What is the probability that more than two calls are received in a one-hour period? (b) What is the probability that exactly ten calls are received during a two-hour period? (c) If the ITS staff take a 30-minute break for lunch, what is the probability that they do not miss any calls?

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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5. During the month of May, the number of calls received by the ITS Service Desk at Carleton University
follows a Poisson distribution with a mean of 5 calls per hour. To answer each of the following questions,
first define an appropriate random variable and identify its probability distribution and relevant parameter
values.
(a) What is the probability that more than two calls are received in a one-hour period?
(b) What is the probability that exactly ten calls are received during a two-hour period?
(c) If the ITS staff take a 30-minute break for lunch, what is the probability that they do not miss any calls?
(d) Refer to part (c). What is the probability that the ITS staff do not miss any calls during lunch on at least
three out five days?
Transcribed Image Text:5. During the month of May, the number of calls received by the ITS Service Desk at Carleton University follows a Poisson distribution with a mean of 5 calls per hour. To answer each of the following questions, first define an appropriate random variable and identify its probability distribution and relevant parameter values. (a) What is the probability that more than two calls are received in a one-hour period? (b) What is the probability that exactly ten calls are received during a two-hour period? (c) If the ITS staff take a 30-minute break for lunch, what is the probability that they do not miss any calls? (d) Refer to part (c). What is the probability that the ITS staff do not miss any calls during lunch on at least three out five days?
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