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) John works at a phone bank. After getting off the phone with a particularly rude customer, he looks at the wall and sees that it is 4:58 PM, and he has 2 minutes until his shift is over. He knows that the time until the next phone call is an exponentially distributed random variable with parameter 2 = 1 minute. He is really tired and hopes nobody calls before his shift ends. What is the probability that he gets lucky and finishes his shift with no more calls?

) John works at a phone bank. After getting off the phone with a particularly rude customer, he looks at the wall and sees that it is 4:58 PM, and he has 2 minutes until his shift is over. He knows that the time until the next phone call is an exponentially distributed random variable with parameter 2 = 1 minute. He is really tired and hopes nobody calls before his shift ends. What is the probability that he gets lucky and finishes his shift with no more calls?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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) John works at a phone bank. After getting off the phone with a particularly rude customer, he looks at the wall and sees that it is 4:58 PM, and he has 2 minutes until his shift is over. He knows that the time until the next phone call is an exponentially distributed random variable with parameter 2 = 1 minute. He is really tired and hopes nobody calls before his shift ends. What is the probability that he gets lucky and finishes his shift with no more calls?
Transcribed Image Text:) John works at a phone bank. After getting off the phone with a particularly rude customer, he looks at the wall and sees that it is 4:58 PM, and he has 2 minutes until his shift is over. He knows that the time until the next phone call is an exponentially distributed random variable with parameter 2 = 1 minute. He is really tired and hopes nobody calls before his shift ends. What is the probability that he gets lucky and finishes his shift with no more calls?
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