Suppose that a Covid-19 testing centre receives two phones calls, on average, per minute concerning test results. Required: a)What are the conditions for this experiment to be considered a Poisson experiment? Motivate.  b) What is the expected number of phone calls regarding test results per hour?  c) What is the probability that more zero but less than four phone calls regarding test results are received in any given period of two minutes?

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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Suppose that a Covid-19 testing centre receives two phones calls, on average, per minute concerning test results.
Required:

a)What are the conditions for this experiment to be considered a Poisson experiment? Motivate. 
b) What is the expected number of phone calls regarding test results per hour? 
c) What is the probability that more zero but less than four phone calls regarding test results are received in any given period of two minutes? 
d) What is the probability that more than one phone calls regarding test results are received in any given period of three minutes? 
e) What is the probability that no phone calls regarding test results are received in any given period of one minute?

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