The time between requests to a web server is exponentially distributed with mean 0.500 seconds.   1. Find the probability that there will be exactly 5 requests in a 2-second time interval. Probability from the poisson process. (Round the final answer to four decimal places.)   2. Find the probability that there will be more than 1 request in a 1.5-second time interval. (Round the final answer to four decimal places.)   3.Find the probability that there will be no requests in a 1-second time interval. (Round the final answer to four decimal places.)   4. Find the probability that the time between requests is greater than 1 second. (Round the final answer to four decimal places.)   5. Find the probability that the time between requests is between 1 and 2 seconds. (Round the final answer to four decimal places.)   6. If there have been no requests for the past 2 seconds, what is the probability that more than one additional second will elapse before the next request? (Round the final answer to four decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The time between requests to a web server is exponentially distributed with mean 0.500 seconds.

 

1. Find the probability that there will be exactly 5 requests in a 2-second time interval. Probability from the poisson process. (Round the final answer to four decimal places.)

 

2. Find the probability that there will be more than 1 request in a 1.5-second time interval. (Round the final answer to four decimal places.)

 

3.Find the probability that there will be no requests in a 1-second time interval. (Round the final answer to four decimal places.)

 

4. Find the probability that the time between requests is greater than 1 second. (Round the final answer to four decimal places.)

 

5. Find the probability that the time between requests is between 1 and 2 seconds. (Round the final answer to four decimal places.)

 

6. If there have been no requests for the past 2 seconds, what is the probability that more than one additional second will elapse before the next request? (Round the final answer to four decimal places.)

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