In any one-minute interval, the number of requests for a popular Web page is a Poisson random
Question:
(a) A Web server has a capacity of C requests per minute. If the number of requests in a one-minute interval is greater than C, the server is overloaded. Use the central limit theorem to estimate the smallest value of C for which the probability of overload is less than 0.05.
(b) Use MATLAB to calculate the actual probability of overload for the value of C derived from the central limit theorem.
(c) For the value of C derived from the central limit theorem, what is the probability of overload in a one-second interval?
(d) what is the smallest value of C for which the probability of overload in a one- second interval is less than 0.05?
(e) Comment on the application of the central limit theorem to estimate the overload probability in one- second interval and in a one- minute interval.
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Step by Step Answer:
a Since the number of requests N has expected value EN 300 and variance VarN 300 we need C to satisfy From Table 42 we note that 165 09505 Thus C 300 165300 3286 2 b For C 3286 the exact probability o...View the full answer
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Related Book For 
Probability and Stochastic Processes A Friendly Introduction for Electrical and Computer Engineers
ISBN: 978-1118324561
3rd edition
Authors: Roy D. Yates, David J. Goodman
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