6. Patients arrive at the emergency room in a certain hospital according to a Poisson Process. The probability that there are no arrivals at all during a period of one hour is 0.00451658. (a) What is the expected number of arrivals during a period of one hour? (b) What is the probability that the number of arrivals in one hour is more than 2 standard deviations above the expected number of arrivals?

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. Patients arrive at the emergency room in a certain hospital according to a Poisson Process.
The probability that there are no arrivals at all during a period of one hour is 0.00451658.
(a) What is the expected number of arrivals during a period of one hour?
(b) What is the probability that the number of arrivals in one hour is more than 2 standard
deviations above the expected number of arrivals?
Transcribed Image Text:6. Patients arrive at the emergency room in a certain hospital according to a Poisson Process. The probability that there are no arrivals at all during a period of one hour is 0.00451658. (a) What is the expected number of arrivals during a period of one hour? (b) What is the probability that the number of arrivals in one hour is more than 2 standard deviations above the expected number of arrivals?
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