The number of messages that arrive at a Web site is a Poisson distributed random variable with a mean of /messages per hour. Rou your answers to four decimal places (e.g. 98.7654). (a) What is the probability that 5 messages are received in 1 hour? (b) What is the probability that 10 messages are received in 1.5 hours? (c) What is the probability that fewer than 2 messages are received in 1/2 hour?

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 messages that arrive at a Web site is a Poisson distributed random variable with a mean of 7 messages per hour. Round
your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that 5 messages are received in 1 hour?
(b) What is the probability that 10 messages are received in 1.5 hours?
(c) What is the probability that fewer than 2 messages are received in 1/2 hour?
Transcribed Image Text:The number of messages that arrive at a Web site is a Poisson distributed random variable with a mean of 7 messages per hour. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that 5 messages are received in 1 hour? (b) What is the probability that 10 messages are received in 1.5 hours? (c) What is the probability that fewer than 2 messages are received in 1/2 hour?
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